CALENDAR OF AMS MEETINGS

THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to which no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meet­ ing. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab­ stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions.

MEETING ABSTRACT NUMBER DATE PlACE DEADliNE ISSUE 782 November 14-15, 1980 Knoxville, Tennessee SEPTEMBER 19 November 783 january 7-11, 1981 San Francisco, California OCTOBER 22 january (87th Annual Meeting) 1981 784 March 20-21, 1981 Notre Dame, Indiana 785 April 23-25, 1981 Reno, Nevada 786 May 15-16, 1981 Pittsburgh, Pennsylvania 787 June 19-20, 1981 Portland, Oregon 788 August 11-21, 1981 Pittsburgh, Pennsylvania (85th Summer Meeting)

january 13-17, 1982 Cincinnati, Ohio {88th Annual Meeting)

January 9-13, 1985 Anaheim, California (91st Annual Meeting)

january 21-25, 1987 San Antonio, Texas (93rd Annual Meeting)

Notices DEADliNES ISSUE NEWS ADVERTISING November 1980 September 15 September 30 January 1981 October 22 November 14 Deadlines for announcements intended for the Special Meetings section are the same as for News.

Other Events Sponsored by the Society

1981 ANNOUNCEMENT APPEARS january 5-6 AMS Short Course. Cryptology in Revolution: This issue, p. 516 Mathematics and Models, San Francisco, California january 8 Symposium on Some Mathematical Questions in Biology This issue, p. 525 Toronto, Ontario, Canada Notices of the American Mathematical Society

Volume 27, Number 6, October 1980

EDITORIAL COMMITTEE Ed Dubinsky, Richard J. Griego, Robion C. Kirby, Arthur P. Mattuck, Susan Montgomery, Barbara L. Osofsky, Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst

ASSOCIATE EDITOR FOR QUERIES Hans Samelson

SUBSCRIPTION ORDERS 490 MEETINGS OF THE SOCIETY Notices is published eight times a Providence, Rhode Island, October 78, 490 year (January, February, April, June, Kenosha, Wisconsin, October 31, 500 August, October, November, and December). Subscription for Vol. 27 Knoxville, Tennessee, November 14, 507 (1980), $22.00 list, $11.00 member. San Francisco, California, january 7, 510 The subscription price for members Symposium on Mathematical Biology, Toronto, is included in the annual dues. Sub­ january 8, 525 scriptions and orders for AMS publi­ Special Sessions, 509 cations should be addressed to the Invited Speakers, 499; American Mathematical Society, 525 ELECTION INFORMATION P. 0. Box 1571, Annex Station, Providence, R.I. 02901. All orders 526 QUERIES must be prepaid. 528 1980 WIENER AND STEELE PRIZES ADVERTISING & INQUIRIES 535 NEW AMS PUBLICATIONS The Notices publishes situations wanted and classified advertising, 537 LETTERS TO THE EDITOR and display advertising for publishers 540 NEWS AND ANNOUNCEMENTS and academic or scientific organiza­ tions. Requests for information: 546 SPECIAL MEETINGS Advertising: Virginia Biber Change of address or subscriptions: 550 MISCELLANEOUS Rena Harty Visiting Mathematicians (Supplement), 550 To avoid interruption in service please send address changes four to six Personal Items, 554; Deaths, 555 weeks in advance. It is essential 556 AMS REPORTS & COMMUNICATIONS to include the member code which appears on the address label with Public Cryptography Study Group, 556; all correspondence regarding Reports of Meetings: Ellensburg, 556, 1980 subscriptions. Address correspondence Summer Research Institute, 556; Ann Arbor to American Mathematical Society, P. 0. Box 6248, Providence, Rl 02940. (Council and Business Meetings), 557; Recent Telephone 401-272-9500. Appointments, 558. Second class postage paid at 559 ADVERTISEMENTS Providence, Rl, and additional mailing offices. U.S. Postal Service 573 PREREGISTRATION FORMS Publication No. 398520. Register, 573, 574; Copyright © 1980 by the Employment American Mathematical Society, San Francisco Preregistration and Housing form, Printed in the United States of America. 575, 576 Providence, October 18-19, 1980, Brown University Program for the 780th Meeting

The seven hundred eightieth meeting of the witz, Eric Bedford, Melvyn Berger, Ronald R. Coif­ American Mathematical Society will be held at Brown man, Constantine M. Dafermos, Lawrence Craig University, Providence, Rhode Island, on Saturday Evans, James M. Greenberg, Jeff Holder, Robert V. and Sunday, October 18-19, 1980. All sessions Kohn, Henry L. Kurland, Oliver McBryan, Frank will be held in Barus-Holley Building, where only Morgan, Alan Newell, Wei-mint Ni, Rodolfo R. Room 166 will be equipped with an overhead pro­ Rosales, Vladimir Scheffer, Maria E. Schonbek, and jector and screen; the other rooms contain built-in Fred Weissler. blackboards, but no overheads. Algebra of analytic functions, CHARLES E. RICKART, Yale University. The speakers will be Invited Addresses Bernard Aupetit, H. Alexander, T. W. Gamelin, Her­ By invitation of the Committee to Select Hour bert Kamowitz, A. G. O'Farrell, Michael Range, Speakers for Eastern Sectional Meetings, there will Stuart J. Sidney, Charles M. Stanton, James Li-Ming be four invited one-hour addresses. Wang, Barnet M. Weinstock, John Wermer, and Wil­ GORO AZUMA YA, Indiana University, Bloom­ liam R. Zame. ington, Exact and serial rings. Mathematical models in neuro and developmen­ WILLIAM E. FULTON, Brown University, Con­ tal biology, JOHN M. RINZEL, National Institute of nectivity of algebraic varieties. Health. The speakers include James A. Anderson, R. B. MELROSE, Massachusetts Institute of Barry Bunow, Stephen Childress, G. Bard Ermen­ Technology, Microlocal methods and strictly pseudo trout, John A. Feroe, Stuart Geman, Eric Grimson, convex domains. Stuart P. Hastings, H. Michael Lacker, Garrett Odell, MICHAEL C. REED, Duke University and New and William C. Troy. York University, Courant Institute of Mathematical Scientific computing and numerical analysis, Sciences, Propagation of singularities for semilinear MARTIN H. SCHULTZ, Yale University. The speak­ hyperbolic equations. ers will be Randolph E. Bank, Garrett Birkhoff, Petter Bjorstad, Stanley C. Eisenstat, Joseph E. Fla­ Special Sessions herty, Eugene Isaacson, Donald J. Rose, and Alan By invitation of the same committee, there will Needleman. be eight special sessions of selected twenty-minute papers. Registration Harmonic analysis, RON C. BLEI and STUART The registration desk will be located in the lobby J. SIDNEY, University of Connecticut. The speak­ of the Barus-Holley Building, where participants may ers will be John J. Benedetto, Ron C. Blei, Ronald register from 8:30 a.m. until 4:00 p.m. on Saturday, R. Coifman, Marjorie G. Hahn, Andrew Marko, Dan and 8:30 a.m. until 2:00 p.m. on Sunday. Registra­ Oberlin, Gilles Pisier, Richard Tolimierie, and Chris­ tion fees for the meeting are $3 for members of the topher C. White. Society, $5 for nonmembers, and $1 for students or History and philosophy of mathematics, ROGER unemployed mathematicians. LEE COOKE, University of Vermont. The speakers include Ali A. AI-Daffa, Lee G. Bowie, Michael Ju­ Accommodations bien, V. Frederick Rickey, S. R. Sinha, Stanley H. Blocks of rooms have been set aside for partici­ Stahl, and Thomas Tymoczko. pants in the following hotels or motels; all, except Representations of Lie groups, ANTHONY the Howard Johnson's Motor Lodge, are located in KNAPP, Cornell University. The speakers are Louis or close to downtown Providence. Participants Auslander, Larry Baggett, William H. Barker, Brian should make reservations directly with the hotel or Blank, David L. Degeorge, Rebecca A. Herb, Roger motel and should mention the AMS meeting, so as Howe, Bertram Kostant, Wulf Rossmann, Diana to obtain the special rates. All rates quoted are sub­ Shelstad, Birgit Speh, Robert J. Stanton, Elias Stein, ject to the 6 percent R.I. sales tax. The deadline for Michele Vergne, David Vogan, Nolan Wallach, and these reservations was September 26. The following Gregg J. Zuckerman. codes apply: FP-free parking; SP-swimming pool; Elliptic curves and arithmetic geometry, JONA­ AC-air conditioned; TV-television; CL-cocktail lounge; THAN D. LUBIN, Brown University. The speakers RT-restaurant. will be Michael Anderson, Avner Ash, Armand Brum­ mer, David A. Cox, Dorian Goldfeld, David Hayes, *Biltmore Plaza (1.3 miles, 30-minute walk) Kenneth Kramer, Jeffrey Lang, Peter Norman, David Kennedy Plaza, 02903 Rohrlich, Michael Rosen, and Joseph H. Silverman. Telephone: 401-421-0700 Nonlinear partial differential equations, Single $43 Double or Twin $53 MICHAEL C. REED. The speakers are Mark Ablo- Codes: FP-AC-TV-CL-RT

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491 *Holiday Inn (1.5 miles, 36-minute walk) Washington, D.C. Union Station is in the center of 21 Atwells Avenue, 02903 downtown Providence, and it is only a few minutes' Telephone: 401-831-3900 ride to the campus by taxi. The bus terminal is Single $35 Double or Twin $42 located near Union Station, and frequent bus service Codes: FP-SP-AC-TV-CL-RT is provided to or from Boston, Boston's Logan Air­ port, and New York City. *Howard Johnson's Motor Lodge (6.4 miles) 20 Jefferson Boulevard, Warwick, 02888 Persons driving from the T. F. Greene Airport Telephone: 401-467-9800 or points south of Providence to the Brown campus Single $31 Double $37 Twin $39 should follow 1-95 north to Providence, and take the Codes: FP-SP-AC-TV-CL-RT exit marked "1-195 east." Take the first exit off 1-195 (marked "Downtown"), turn right at the end of Marriott Inn Providence (1.3 miles, 30-minute walk) the ramp and left on South Main Street. Turn right Charles and Orms Streets, 02904 up the hill on College Street Telephone: 401-272-2400 to Prospect Street, right again on Prospect Street, and then left on George Single $42 Double or Twin $48 Street. The parking Codes: FP-SP-AC-TV-CL-RT lot of Barus-Holley Building is at the corner of George and Hope Streets. To reach Wayland Manor (0. 75 mile, 15-minute walk) the Holiday Inn or Biltmore Plaza, those driving from 500 Angell Street, 02906 the south should not exit on 1-195, but stay on 1-95 Telephone: 401-751-7700 north to the Broadway exit ( #21 ). To reach the Single $29 Double or Twin $37 Marriott Inn, stay on 1-95 until the State Offices Codes: FP-TV-CL-RT (lunch and dinner only) exit ( #23) and turn left at the top of the ramp onto *These facilities provide courtesy transportation from Orms Street. the T. F. Greene Airport by advance request. There Participants driving to Providence from the north is also limousine service from the airport to down­ on 1-95 would take the exit marked "1-195 east" town motels (see Transportation section below). and then follow the same directions to reach the Food Service campus from route 1-195. To reach the Marriott Meals will be available on a cash basis in the Inn, take exit 23 (marked "Charles Street" at the Sharpe Refectory, located at the corner of George first sign, and "State Offices" at the next sign). and Thayer Streets, on both Saturday and Sunday. Charles Street is one-way, so traffic must bear right In addition, there are many restaurants within a short and take the first available left to go back under walk from Barus-Holley, as well as in downtown Route 1-95. The Marriott is a short distance away Providence and the surrounding area. on the right. To go to the Holiday Inn or Biltmore Plaza, take the Atwells Avenue/Downtown exit Transportation ( #21) and turn left at the traffic light at the top of Theodore Francis Greene Airport, located in the ramp. Warwick, is served by several major airlines including Participants attending the meeting may Eastern, TWA, United, and USAir, as well as com­ park in the lot next to Barus-Holley muter carriers, and is approximately fifteen minutes Building. from downtown Providence. The Aero Airport There is frequent local bus service from down­ Limousine Service meets incoming flights, and the town Providence to Hope Street, for which exact charge for one-way transportation to downtown change of 35¢ is required each way. Fall schedules Providence is currently $5.75 per person. Jhe aver­ are not yet available, so anyone planning to take the age charge for taxicabs is approximately $14. bus is advised to call the Rhode Island Public Transit Providence is also served by regularly scheduled Authority at 781-9400 to obtain information at the Amtrak trains from Boston, New York City, and time of the meeting.

492 PROGRAM OF THE SESSIONS

The time limit for each contributed paper in the AMS general sessions is ten minutes. To maintain the schedule, the time limits will be strictly enforced. Abstracts for papers presented in AMS sessions at this meeting will be found in the October 1980 issue of Abstracts of papers presented to the American Mathematical Society. Numbers in parentheses following the listings below indicate the order in which the abstracts are printed in that journal. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

SATURDAY, 9:30 A. M. Special Session on Representations of Lie Groups. I, Room 141 9:30- 9:50 ( 1) Geometric invariants for representations of semisimple groups. Professor ROGER HOWE, Yale University (780-G1) 9:55-10:15 2) Do/beaut cohomology of noncompact locally symmetric spaces. Professor DAVID L. DEGEORGE, Rutgers University, New Brunswick (780-A 18) 10:20-10:40 3) Penrose correspondences in Category 0. Preliminary report. Professor GREGG j. ZUCKERMAN, Yale University (780-G12) 10:45-11 :05 4) Tempered representations and orbits. Preliminary report. W. ROSSMANN, University of Ottawa (780-G5)

SATURDAY, 9:30A.M. Special Session on Mathematical Models in Neuro and Developmental Biology. I, Room 153 9:30- 9:50 ( 5) A few comments on parallel, distributed, associative neural models. JAMES A. ANDERSON, Brown University (780-C11) 9:55-10:15 6) Reaction-diffusion patterns as a basis for biological form-some discouraging results. Dr. BARRY j. BUNOW*, National Institutes of Health, Bethesda, Maryland, and Professor jEAN-PI ERRE KERNEVEZ, Universite de Technologie de Compiegne, France (780-C3) (Introduced by Professor john M. Rinzel) 10:20-10:40 7) Stationary, homogeneous, isotropic media. Preliminary report. Dr. G. BARD ERMENTROUT, National Institutes of Health, Bethesda (780-C10) 1 0:45-11 :05 8) Infinite pulse trains in nerve axon equations. Professor JOHN A. FE ROE, Vassar College (780-C2) 11 :1 0-11 :30 9) Models of cell and tissue movement. Preliminary report. Professor STEPHEN CHILDRESS, Courant Institute of Mathematical Sciences, New York University (780-C17) SATURDAY, 9:30A.M. Special Session on Nonlinear Partial Differential Equations. I, Room 166 9:30- 9:50 ( 1 0) On a nonlinear singular integra-differential equation. Preliminary report. Professor MARK j. ABLOWITZ, Clarkson College of Technology (780-B2) (Introduced by Professor Michael C. Reed) 9:55-10:15 ( 11) Potential theory via the operator (ddc)n. ERIC BEDFORD, Princeton University (780-B1 0) 10:20-10:40 ( 12) The simplest Yang-Mills theory that works. MEL S. BERGER, University of Massachusetts, Amherst (780-B3) 10:45-11:05 ( 13) Conservation laws with dissipation. CONSTANTINE M. DAFERMOS, Brown University (780-85)

SATURDAY, 11:10 A.M. Invited Address, Room 166 11 :10 ( 14) Exact and serial rings. Professor GORO AZUMA YA, Indiana University, Bloomington (780-A14)

SATURDAY, 1:30 P.M. Invited Address, Room 166 1 :30 ( 15) Connectivity of algebraic varieties. Professor WILLIAM FULTON, Brown University (780-A2)

493 SATURDAY, 2:40P.M. Special Session on Nonlinear Partial Differential Equations. II, Room 166 2:40· 3:00 ( 16) Unstable fluid flows. Professor OLIVER A. McBRYAN, Courant Institute of Mathematical Sciences, New York University (780-B25) 3:05- 3:25 ( 17) Multiphase self-similar solutions of evolution equations. Dr. ALAN C. NEWELL, Clarkson College of Technology (780-B16) 3:30- 3:50 ( 18) On the vortex flow: existence and instability. Preliminary report. Professor WEI-MING Nl, Institute for Advanced Study and University of Pennsylvania (780-B17) 3:55- 4:15 ( 19) On Bony's linearization formula. Professor R. COl FMAN*, Yale University, and Professor YVES MEYER, Ecole Polytechnique, France (780-B42) 4:20- 4:40 ( 20) Nonuniqueness for a semllinear initial value problem. ALAIN HARAUX, University Pierre et Marie Curie, France, and FRED B. WEISSLER*, Brown University (780-B19) SATURDAY, 2:40 P. M. Special Session on History and Philosophy of Mathematics. I, Room 155 2:40- 3:00 ( 21) The rise of meta/ogle. Preliminary report. V. FREDERICK RICKEY, Bowling Green State University (780-H3) 3:05- 3:25 ( 22) Development of right triangle. Preliminary report. Dr. ALl A. AL-DAFFA, University of Petroleum and Minerals, Saudi Arabia (780-H1) (Introduced by Paul S. Schnare)

3:30- 3:50 ( 23) 1f in ancient Indian mathematics. R. S. LAL, University of Allahabad, India, and Dr. S. R. SINHA*, University of Kentucky (780-H2) SATURDAY, 2:40 P. M. Special Session on Mathematical Models in Neuro and Developmental Biology. II, Room 153 2:40- 3:00 ( 24) Human steropsis and visual surface interpolation. Preliminary report. Dr. W. E. L. GRIMSON, Massachusetts Institute of Technology (780-C15) 3:05- 3:25 ( 25) Travelling wave solutions of the FitzHigh-Nagumo equations. Professor STUART HASTINGS, State University of New York at Buffalo (780-C12) 3:30- 3:50 ( 26) Invaginating embryonic epithelial cell sheets mathematically modeled as mechano­ chemically excitable media. GARRETT M. ODELL*, Rensselaer Polytechnic Institute, and GEORGE OSTER, University of California, Berkeley (780-C14) 3:55- 4:15 ( 27) The Be/ousov-Zhabotinskii reaction. Dr. WILLIAM C. TROY, University of Pittsburgh (780-B11) (Introduced by Professor John M. Rinzel) 4:20- 4:40 ( 28) Almost sure stable oscillation in a model of the brainstem respiratory centers. Preliminary report. Professor STUART GEMAN, Brown University (780-C13) 4:45- 5:05 ( 29) Control of ovulation number in a model of ovarian follicular maturation. Dr. H. MICHAEL LACKER*, Courant Institute of Mathematical Sciences and New York University Medical School, and Dr. CHARLES S. PESKIN, Courant Institute of Mathematical Sciences (780-C18) SATURDAY, 2:40 P. M. Special Session on Elliptic Curves and Arithmetic Geometry. I, Room 158 2:40- 3:00 ( 30) Some examples of complex tori. Preliminary report. Professor MICHAEL P. ANDERSON, Brown University (780-B31) 3:05- 3:25 ( 31) Arithmetic of elliptic curves upon quadratic extension. KENNETH KRAMER, City University of New York, Queens College (780-A12) 3:30- 3:50 ( 32) Arithmetic of elliptic curves over function fields over C. D. A. COX*, Amherst College, and W. R. PARRY, State University of New York at Stony Brook (780-A6) 3:55- 4:15 ( 33) Theta functions a Ia Mumford and Barsotti. Professor PETER NORMAN, University of Massachusetts, Amherst (780-A 17) 4:20- 4:40 ( 34) Elliptic curves with good reduction everywhere. Preliminary report. DAVID E. ROHRLICH, Rutgers University, New Brunswick (780-A10)

494 SATURDAY, 2:40P.M. Special Session on Algebra of Analytic Functions. I, Room 159 2:40- 3:00 ( 35) Analytic multivalued functions applied to uniform algebras. Preliminary report. Professor BERNARD AUPETIT, Universite Laval (780-B14) 3:05- 3:25 ( 36) Uniform semigroups, jensen measure and capacity. Preliminary report. Professor H. ALEXANDER, University of Illinois at Chicago Circle (780-B29) 3:30- 3:50 ( 37) Sums of algebras. Professor A. G. O'FARRELL, University of Connecticut, Storrs (780-B45) 3:55- 4:15 ( 38) The double dual of a uniform algebra. Preliminary report BRIAN COLE, Brown University, and T. W. GAMELIN*, University of California, Los Angeles (780-B30) 4:20- 4:40 ( 39) A solution operator for a with local ck regularity. Professor INGO LIEB, Universitat Bonn, Germany, and Professor R. MICHAEL RANGE*, State University of New York at Albany (780-B15)

SATURDAY, 2:40 P. M. Special Session on Representations of Lie Groups. II, Room 141 2:40- 3:00 ( 40) Character formulas and generalized Schubert cells. Preliminary report. DAVID VOGAN, Massachusetts Institute of Technology (780-G1 0) 3:05- 3:25 ( 41) A Lie algebra generalization of the Amltsur-Levitski theorem. Professor BERTRAM KOSTANT, Massachusetts Institute of Technology (780-A19) 3:30- 3:50 ( 42) Some unitary representations of SL(n,R). Dr. BIRGIT SPEH, Cornell University (780-G6) 3:55- 4:15 ( 43) New character fiftings for base change C/R. Professor D. SHELSTAD, Rutgers University (780-G9) 4:20- 4:40 ( 44) Some extensions of intertwining integrals. Preliminary report. A. W. KNAPP, Cornell University, and E. M. STEIN*, Princeton University (780-G8)

SATURDAY, 2:40P.M. Special Session on Scientific Computing and Numerical Analysis. I, Room 160 2:40- 3:00 ( 45) Modifying Courant-Friedrichs-Lewy for the 1980s. Professor GARRETT Bl RKHOFF, Harvard University (780-C16) 3:05- 3:25 ( 46) On the finite element analysis of localized deformation in solid continua. Preliminary report. Professor ALAN NEEDLEMAN, Brown University (780-C1) (Introduced by Professor Martin H. Schultz) 3:30- 3:50 ( 47) Collocation methods for singularly perturbed boundary value problems. Professor JOSEPH E. FLAHERTY, Rensselaer Polytechnic Institute (780-C6) (Introduced by Professor Martin H. Schultz) 3:55- 4:15 ( 48) Mountain Winds-revisited. Professor EUGENE ISAACSON*, New York Univers.ity, and GIDEON ZWAS, Tel-Aviv University, Israel (780-C4)

SATURDAY, 4:20 P. M. Session on Geometry, Room 157 4:20- 4:30 ( 49) Billiards in ellipsoids. Dr. PHILIP H. TURNER, Louisiana State University, Baton Rouge (780-01) 4:35- 4:45 ( 50) Densities on smooth bundles. Professor J. W. AUER, Brock University (780-D2) 4:50- 5:00 ( 51) Equivariant geometry of circle actions on three manifolds. Preliminary report. Dr. ALLEN BACK, Cornell University (780-03) 5:05- 5:15 ( 52) The integrability tensor for bundle-/ike foliations. Preliminary report. RICHARD H. ESCOBALES, Jr., Canisius College and Syracuse University (780-D4) 5:20- 5:30 ( 53) Finitely starlike sets and Helly's theorem. Preliminary report. Professor JOHN D. BAI LDON, Worthington Scranton Campus, Pennsylvania State University (780-D5)

SATURDAY, 4:20 P. M. Session on Analysis, Room 160 4:20- 4:30 ( 54) Predator-prey models with time-varying coefficients. Professor V. W. NOONBURG, University of Hartford (780-C8)

495 4:35- 4:45 ( 55) A constant coefficient F.D.E. with advanced terms. Dr. GARFIELD C. SCHMIDT, University of Lowell (780-B35) 4:50- 5:00 ( 56) Zeros of successive derivatives of certain entire functions of infinite order. Professor ALBERT EDREI, Syracuse University (780-B28) 5:05- 5:15 ( 57) Order and true order of linear operators in some vector spaces. S. ZAIDMAN, Universite de Montreal (780-B1) 5:20- 5:30 ( 58) On a partial differential equation with an exponential nonlinearity. Preliminary report Dr. JAMES L. MOSELEY, West Virginia University (780-B40) 5:35- 5:45 ( 59) A nonlinear differential equation from combustion theory. Preliminary report. ROGER K. ALEXANDER, Rensselaer Polytechnic Institute (780-B44) SUNDAY, 8:30A.M. Session on Algebra, Room 158 8:30- 8:40 ( 60) A characterization of the simple group L (3,5). Professor LEO J. ALEX, State University of New York, College at Oneonta (780-A 15) 8:45- 8:55 ( 61) Toward a polynomial algorithm for obtaining a Hamilton line in a graph. II. Dr. HOWARD KLEIMAN, City University of New York, Queensborough Community College (780-Al) 9:00- 9:10 ( 62) Inherently nonfinitely based finite algebras. Preliminary report. Dr. PETER PERKINS, Holy Cross College (780-A 11) 9:15- 9:25 ( 63) Genera ofQ-quaternion curves. WALTER R. PARRY*, State University of New York, Stony Brook, and DAVID A. COX, Amherst College (780-A20) SUNDAY, 9:30 A. M. Special Session on Nonlinear Partial Differential Equations. Ill, Room 166 9:30- 9:50 ( 64) Spiral waves. JAMES M. GREENBERG, State University of New York at Buffalo (780-B4) 9:55-10:15 ( 65) On solving certain fully nonlinear second order elliptic equations. Professor LAWRENCE C. EVANS, University of Maryland, College Park (780-B9) 10:20-1 0:40 ( 66) Integral estimates for deformations in terms of their nonlinear elastic strains. Dr. ROBERT V. KOHN, Courant Institute of Mathematical Sciences, New York University (780-B18) 10:45-11 :05 ( 67) Regularity of solutions to the Navier-Stokes equations. Preliminary report. Professor VLADIMIR SCHEFFER, Rutgers University, New Brunswick (780-B36) SUNDAY, 9:30A.M. Special Session on Representations of Lie Groups. Ill, Room 141 9:30- 9:50 ( 68) Fourier inversion of orbital integrals. Dr. REBECCA A. HERB, University of Maryland, College Park (780-G2) 9:55-10:15 ( 69) A Plancherel formula without group representations. MICHELE VERGNE, Massachusetts Institute of Technology (780-G13) 10:20-10:40 ( 70) Invariant positive definite distributions on SU(1, 1 )/ {±1 }. Dr. WILLIAM H. BARKER, Bowdoin College (780-G3) 10:45-11 :05 ( 71) Analytic extension of matrix coefficients. ROBERT J. STANTON, Rice University (780-G11) SUNDAY, 9:30 A. M. Special Session on Scientific Computing and Numerical Analysis. II, Room 160 9:30- 9:50 ( 72) Global approximate Newton methods. Preliminary report. Professor RANDOLPH E. BANK, University of Texas, Austin, and Dr. DONALD J. ROSE*, Bell Laboratories, Murray Hill, New Jersey (780-C5) 9:55-10:15 ( 73) Efficient solution of the biharmonic equation. Dr. PETTER BJORSTAD, Courant Institute of Mathematical Sciences, New York University (780-C7) (Introduced by Martin H. Schutz) 10:20-10:40 ( 74) A multilevel method for nonlinear elliptic partial differential equations. Professor RANDOLPH E. BANK*, University of Texas, Austin, and Dr. DONALD J. ROSE, Bell Laboratories, Murray Hill (780-C9)

496 10:45-11:05 ( 75) Inexact Newton methods. R. 5. DEMBO, S.C. EISENSTAT* and T. STEIHAUG, Yale University (780-C19)

SUNDAY, 9:30A.M. Special Session on Elliptic Curves and Arithmetic Geometry. II, Room 158 9:30- 9:50 ( 76) The arithmetic of cyclotomic function fields. Preliminary report. Professor MICHAEL I. ROSEN, Brown University (780-AS) 9:55-10:15 ( 77) Lower bounds for canonical heights on elliptic curves. Preliminary report. JOSEPH H. 51 LVERMAN, Harvard University (780-A4) 10:20-10:40 ( 78) On the field of rationality of hyperelliptic curves. Preliminary report. Professor ARMAND BRUMER, Fordham University (780-A 16) 10:45-11 :05 ( 79) Elliptic curves with rank two over imaginary quadratic fields with low class number. Preliminary report. DORIAN M. GOLDFELD, Massachusetts Institute of Technology (780-A9)

SUNDAY, 9:30A.M. Special Session on History and Philosophy of Mathematics. II, Room 155 9:30- 9:50 ( 80) Making room for mathematicians in the philosophy of mathematics. Professor THOMAS TYMOCZKO, Smith College (780-E3) (Introduced by Professor Roger Lee Cooke) 9:55-10:15 ( 81) The continuum problem. Professor STANLEY H. STAHL, Westfield State College (780-E4) 10:20-1 0:40 ( 82) A proper burial for an argument from Godel's theorem against physicalism. G. LEE BOWIE, Mount Holyoke College (780-E6) (Introduced by Professor Roger Lee Cooke) 10:45-11:05 ( 83) Property theory. Preliminary report. MICHAEL JUBIEN, University of Massachusetts, Amherst (780-E1) (Introduced by Professor Roger Lee Cooke)

SUNDAY, 9:30A.M. Special Session on Algebra of Analytic Functions. II, Room 159 9:30- 9:50 ( 84) Exposed points and function algebras. Preliminary report. Professor STUART J. SIDNEY, University of Connecticut, Storrs (780-B32) 9:55-10:15 ( 85) A function theoretic characterization of the polydisc. Professor CHARLES M. STANTON, Wesleyan University (780-B6) 10:20-10:40 ( 86) A local criterion for uniform approximation by holomorphic functions. Preliminary report. Professor BARNET M. WEINSTOCK, University of North Carolina at Charlotte (780-B39) 10:45-11 :05 ( 87) Analytic structure and the maximum principle. Preliminary report. Professor JOHN WERMER, Brown University (780-B7)

SUNDAY, 9:30A.M. Special Session on Harmonic Analysis. I, Room 157 9:30- 9:50 ( 88) Invariant subspaces of weighted L 1 . Preliminary report. Professor JOHN J. BENEDETTO, Massachusetts Institute of Technology (780-824) 9:55-10:15 ( 89) Singular measures as convolution operators. Preliminary report. Professor DAN OBERLIN, University of Connecticut, Storrs (780-B27) 10:20-10:40 ( 90) On conjugation of 1/J-D-0 by changes of variables. Preliminary report. Professor R. COl FMAN*, Yale University, and Professor YVES MEYER, Ecole Polytechnique, France (780-B41) 10:45-11 :05 ( 91) The pointwise translation problem for the Radon transform in Banach spaces. Preliminary report. MARJORIE G. HAHN*, Tufts University, and PETER HAHN, Harvard Medical School (780-B34)

SUNDAY, 11:10 A.M. General Session, Room 1 55 11 :1 0-11 :20 ( 92) Why Godel's proof is no threat to science. Preliminary report. Dr. G. ARTHUR Ml HRAM, Haverford, Pennsylvania (780-E5)

497 11 :25-11 :35 ( 93) Recursive formula for the characteristic functions of the student t distributions for odd degrees of freedom. Professor S. S. MITRA, Pennsylvania State University, DuBois (780-F1) (111troduced by Professor Moses Glasner) 11:40-11:50 ( 94) Demonstration of the inconsistency of ZFC by an ordinal inequality. Dr. GERHARD F. KOHLMA YR, Math model Consulting Bureau, Glastonbury, Connecticut (780-E2)

SUNDAY, 11:10 A. M; Invited Address, Room 166 11:10 ( 95) Propagation of singularities for semilinear hyperbolic equations. Professor MICHAEL C. REED, Duke University (780-B8)

SUNDAY, 1:30 P.M. Invited Address, Room 166 1 :30 ( 96) Microlocal methods and strictly pseudoconvex domains. Professor RICHARD B. MELROSE, Massachusetts Institute of Technology (780-B46)

SUNDAY, 2:40P.M. Special Session on Harmonic Analysis. II, Room 157 2:40- 3:00 ( 97) Maximal Civin pairs in function algebras. Professor CHRISTOPHER C. WHITE, Castleton State College (780-B22) 3:05- 3:25 ( 98) Then-dimensional uncertainty principle in reconstructing functions from moments of x-ray projections. Dr. AN DREW MARKOE, Rider College (780-B13) 3:30- 3:50 ( 99) A nilpotent group view of Gauss sums. Preliminary report. LOUIS AUSLANDER, City University of New York,Graduate School and University Center, RICHARD TOLIMIERI*, University of Connecticut, Storrs, and SHMUEL WINOGRAD, IBM T. j. Watson Research Center (780-B33) 3:55- 4:15 (1 00) Fractional Cartesian products in harmonic analysis. II. Preliminary report. Professor RON C. BLEI, University of Connecticut, Storrs (780-B38)

SUNDAY, 2:40P.M. Special Session on Representations of Lie Groups. IV, Room 141 2:40- 3:00 (1 01) Heeke's theorem on quadratic reciprocity, finite nilpotent groups and the FFT. Professor L. AUSLANDER*, Graduate Center, City University of New York, Professor R. TOLIMIERI, University of Connecticut, Storrs, and Dr. S. WINOGRAD, IBM T. J. Watson Research Center, Yorktown Heights, New York (780-A7) 3:05- 3:25 (1 02) Boundary behaviour of limits of discrete series representations. Preliminary report. BRIAN E. BLANK, Washington University (780-G7) 3:30- 3:50 (103) Lie groups having purely atomic Plancherel measure. Professor LAWRENCE BAGGETT, University of Colorado, Boulder (780-G4) 3:55- 4:15 (104) The Paley- Wiener problem for real reductive groups. Professor NOLAN WALLACH, Rutgers University, New Brunswick (780-G14) (Introduced by Professor Anthony Knapp)

SUNDAY, 2:40P.M. Special Session on Nonlinear Partial Differential Equations. IV, Room 166 2:40- 3:00 (1 05) Existence of solutions for the Boussinesq system of equation. MARIA E. SCHONBEK, University of Rhode Island (780-B21) 3:05- 3:25 (106) Uniqueness for minimizing surfaces. Professor FRANK MORGAN, Massachusetts Institute of Technology (780-B26) 3:30- 3:50 (107) Weakly nonlinear detonation waves. Dr. RODOLFO R. ROSALES*, Courant Institute of Mathematical Sciences, New York University, and Professor ANDREW MAJ DA, University of California, Berkeley (780-843) 3:55- 4:15 (1 08) A bounded traveling wave for a system of nonlinear reaction-diffusion equations. Professor HENRY L. KURLAND, Boston University (780-B37)

SUNDAY, 2:40P.M. Special Session on Elliptic Curves and Arithmetic Geometry. Ill, Room 158 2:40- 3:00 (1 09) Search for motives for GL (3)-automorphic forms. Preliminary report. Dr. AVNE R ASH, Columbia University (780-A8)

498 3:05- 3:25 (110) Analytic class number formulas in function fields. Professor DAVID R. HAYES, University of Massachusetts, Amherst (780-A 13) 3:30- 3:50 (111) On a question of Peter Russell and Richard Ganong. JEFFREY LANG, Purdue University, West Lafayette (780-A3)

SUNDAY, 2:40P.M. Special Session on Algebra of Analytic Functions. Ill, Room 159 2:40- 3:00 (112} Riemann domains and envelopes of holomorphy. Professor JOHN ERIK FORNAESS, Princeton University, and Professor WILLIAM R. ZAME*, Institute for Advanced Study and State University of New York at Buffalo (780-B23) 3:05- 3:25 (113} Approximation by rational modules. Preliminary report. Professor JAMES LI-MING WANG, University of Alabama (780-B12) 3:30- 3:50 (114) Weighted endomorphisms of Banach algebras. Preliminary report. Professor HERBERT KAMOWITZ, University of Massachusetts at Boston (780-B20) Raymond G. Ayoub University Park, Pennsylvania Associate Secretary

PRESENTERS OF PAPERS

Following each name is the number corresponding to the speaker's position on the program • Invited one-hour lecturers * Special session speakers *Ablowitz, M. J. 10 *Cox, D. A. 32 *Kramer, K. 31 *Rossmann, W. 4 *AI-Daffa, A. A. 22 *Dafermos, C. M. 13 *Kurland, H. L. 108 *Scheffer, V. 67 Alex, L. J. 60 *DeGeorge, D. L. 2 * Lacker, H. M. 29 Schmidt, G. C. 55 *Alexander, H. 36 Edrei, A. 56 *Lang, J. 111 *Schonbek, M. E. 105 Alexander, R. K. 59 * Eisenstat, S. C. 75 *Markoe, A. 98 *Shelstad, D. 43 *Anderson, J. A. 5 *Ermentrout, G. B. 7 *McBryan, 0. A. 16 *Sidney, S. J. 84 *Anderson, M. P. 30 Escobales, R. H., Jr. 52 •Melrose, R. B. 96 *Silverman, J. H. 77 *Ash, A. 109 *Evans, L. C. 65 Mihram, G. A. 92 *Sinha, S. R. 23 Auer, J. W. 50 *Feroe, J. A. 8 Mitra, S. S. 93 *Speh, B. 42 *Au petit, B. 35 *Flaherty, J. E. 47 *Morgan, F. 106 *Stahl, S. H. 81 *Auslander, L. 101 •Fulton, W. 15 Moseley, J. L. 58 *Stanton, C. M. 85 •Azumaya, G. 14 *Gamelin, T. W. 38 *Needleman, A. 46 *Stanton, R. J. 71 Back, A. 51 *Geman, S. 28 *Newell, A. C. 17 *Stein, E. M. 44 *Baggett, L. 103 *Goldfeld, D. M. 79 *Ni, W.-M. 18 *Tolimieri, R. 99 Baildon, J. D. 53 *Greenberg, J. M. 64 Noonburg, V. W. 54 *Troy, W. C. 27 *Bank, R. E. 74 *Grimson, W. E. L. 24 *Norman, P. 33 Turner, P. H. 49 *Barker, W. H. 70 *Hahn, M.G. 91 *Oberlin, D. 89 *Tymoczko, T. 80 *Bedford, E. 11 *Hastings, S. 25 *Odell, G. M. 26 *Vergne, M. 69 *Benedetto, J. J. 88 *Hayes, D. R. 110 *O'Farrell, A. G. 37 *Vogan, D. 40 *Berger, M. S. 12 *Herb, R. A. 68 Parry, W. R. 63 *Wallach, N. 104 *Birkhoff, G. 45 *Howe, R. 1 Perkins, P. 62 *Wang, J. L.-M. 113 *Bjorstad, P. 73 *Isaacson, E. 48 *Range, R. M. 39 *Weinstock, B. M. 86 *Blank, B. E. 102 *Jubien, M. 83 •Reed, M. C. 95 *Weissler, F. B. 20 *Biei, R. C. 100 *Kamowitz, H. 114 *Rickey, V. F. 21 *Wermer, J. 87 *Bowie, G. L. 82 Kleiman, H. 61 *Rohrlich, D. E. 34 *White, C. C. 97 *Brumer, A. 78 Kohlmayr, G. F. 94 *Rosales, R. R. 107 Zaidman, S. 57 *Bunow, B. J. 6 *Kohn, R. V. 66 *Rose, D. J. 72 *Zame, W. R. 112 *Childress, S. 9 *Kostant, B. 41 *Rosen, M. I. 76 *Zuckerman, G. J. 3 *Coifman, R. 19, 90

Invited Speakers at AMS Meetings

The individuals listed below have accepted in­ San Francisco, California, january 1981 vitations to address the Society at the times and Shmuel Agmon Peter D. Lax (Retiring places indicated. For some meetings, the list of Gregory V. Chudnovsky Presidential Address) speakers is incomplete. Roger Keith Dennis Cathleen S. Morawetz Feza Giirsey (Gibbs Lecture) Knoxville, Tennessee, November 1980 James E. Humphreys Dennis Sullivan Frank Quinn Don Zagier Mark Kac Masamichi Takesaki David G. Schaeffer (Colloquium Lectures) Michele Vergne

499 Kenosha, Oct. 31-Nov.l, 1980,University of Wisconsin, Parkside Program for the 781st Meeting

The seven hundred eighty-first meeting of the Recursion theory, ROBERT I. SOARE, Univer­ American Mathematical Society will be held at the sity of Chicago. The speakers will be Fred G. Abram­ University of Wisconsin-Parkside, Kenosha, Wisconsin, son, Klaus Ambos-Spies, Sy D. Friedman, Leo A. on Friday, October 31, and Saturday, November 1, Harrington, Peter G. Hinman, Carl G. Jockusch, Jr., 1980. All sessions will be held in the Parkside Union Alexander S. Kechris, Phokion G. Kolaitis, Manuel or in Molinaro Hall, the adjoining classroom building. Lerman, Wolfgang Maass, Terrance S. Millar; David P. Kenosha is located on Lake Michigan about ten kilo­ Miller, Anil Nerode, David B. Posner, Gerald E. meters north of the Illinois-Wisconsin state line. Sacks, Joseph R. Shoenfield, Richard A. Shore, Invited Addresses Stephen G. Simpson, John R. Steel, and Michael Stob. By invitation of the 1979 Committee to Select Discrete groups and low-dimensional topology, Hour Spe_akers for Western Sectional Meetings, there NORBERT J. WIELENBERG, University of Wiscon­ will be four invited one-hour addresses. sin, Parkside. The speakers will be William Abikoff, IGOR DOLGACHEV, University of Michigan, James W. Cannon, Allan L. Edmonds, William J. Ann Arbor, will address the Society at 11 :00 a.m. Floyd, Jane P. Gilman, Benjamin R. Halpern, John on Friday; his topic is Torical varieties and their P. Hempel, Louis H. Kauffman, Kyung Bai Lee, A. applications. Murray Macbeath, Kunion Marasugi, Howard A. STEPHEN C. KLEENE, University of Wisconsin, Masur, Peter J. Nicholls, Frank A. Raymond, Mark E. Madison, will give an hour talk at 1:45 p.m. on Fri­ Sheingorn, Hamish B. Short, and Philip D. Wagreich. day on The theory of recursive functions, approach­ Contributed Papers Ing Its centennial. There will be sessions for contributed ten-minute VERA S. PLESS, University of Illinois at Chicago papers at 8:00a.m. on Friday and Saturday. Circle, will speak at 11:00 a.m. on Saturday; her Registration topic is Main problems in coding. PETER B. SHALEN, Rice University, will address The registration desk will be located on the the Society at 1 :45 p.m. on Saturday; his subject will ground floor of the Parkside Union just outside the be Three-manifolds, linear groups, and algebraic Cinema Theater, and will be open from 8:00a.m. to varieties. 4:00 p.m. on Friday and from 8:00 a.m. to 3:00 All four one-hour addresses will be given in the p.m. on Saturday. The registration fees will be $5 Cinema Theater in the Parkside Union. for nonmembers, $3 for members, and $1 for students and unemployed· mathematicians. Special Sessions Accommodations By invitation of the same committee there will be five special sessions of selected twenty-minute A block of rooms has been reserved at the Holi­ papers. day Inn. Participants should make their own reserva­ Combinatorial group theory, LEO P. COMER­ tions directly with the motel at least two weeks prior FORD, JR., RONALD W. GATTERDAM, and to the meeting. KENNETH W. WESTON, University of Wisconsin, Holiday Inn Parkside. The speakers will be Roger C. Alperin, 5125 Sixth Avenue, Kenosha, Wisconsin 53140 Frank B. Cannonito, Marc Culler, Joan L. Dyer, Telephone: 414-658-3281 Benjamin Fine, Richard Z. Goldstein, Franklin Haimo, Single $32 plus tax Double $37 plus tax Marshall Hall, Jr., David A. Jackson, Sushi! Jajodia, These are special rates and the AMS meeting must be Jacques Lewin, Horace Y. Mochizuki, Vardeman G. mentioned in order to obtain them. The University Moore, John G. Ratcliffe, Derek J. S. Robinson, of Wisconsin, Parkside, will provide shuttle service be­ Allan J. Sieradski, Francis C. Y. Tang, Edward C. tween the Holiday Inn and the campus. The Holiday Turner, and Hermann V. Waldinger. Inn overlooks Kenosha Harbor in downtown Kenosha, Ordinary differential equations in the complex while the campus is five kilometers to the north. domain, DONALD A. LUTZ, University of Wiscon­ sin, Milwaukee. The speakers are Steven B. Bank, Food Service Harry Gingold, Louis J. Grimm, Leon M. Hall, The Parkside Union will be open for food service Po-Fang Hsieh, Willard Miller, Jr., Lee A. Rubel, Friday, with breakfast and lunch served in the main Yasutaka Sibuya, and Wolfgang R. Wasow. cafeteria until 2:00 p.m. On Friday evening there Commutative algebra and algebraic geometry, will be a dinner for participants at the Miller Inn, JOEL L. ROBERTS, University of Minnesota, Min­ located in the Miller Brewery in Milwaukee; detailed neapolis. The speakers include Kaan U. Akin, Michael information is included in the section below headed Randy Gabel, Melvin Hochster, Craig L. Huneke, ENTERTAINMENT. The Union cafeteria will be William E. Lang, Anatoly S. Libgober, Tzuong-Tsieng open to meeting participants for Saturday lunch, for Moh, Kenneth R. Mount, Robert Speiser, and Jacob which tickets should be purchased in advance at the Towber. registration desk; because a limited number of lunches

500 have been ordered, tickets will be sold on a first-come north of the Illinois-Wisconsin state line) to County basis. There are a number of other nearby restaurants Highway G {also known as 30th Avenue or Wood in Kenosha, in addition to the restaurant at the Holi­ Road). Go north one kilometer on Highway G. day Inn. Access to the Union parking lot is by the second road to the left, while the Tallent Hall parking lot is Entertainment on the right. To reach the Holiday Inn from Inter­ There will be a tour of the Miller Brewery in state 94 go eastbound on State Route 158 as far as Milwaukee on Friday evening, followed by dinner one can go. and a social hour in the historic Miller Inn. The There is direct bus service from O'Hare Airport Miller Brewing Company is providing use of the Inn in Chicago to Howard Johnson's Motor Lodge in and complimentary beer for this event. Buses for Kenosha, which is located off Interstate 94, but is those planning to attend will leave from the Parkside unfortunately somewhat distant from the campus Union shortly after 5:00 p.m. and will return to the and the Holiday Inn. The University of Wisconsin, Holiday Inn before 11 :00 p.m. The cost of the Parkside, will provide transportation from Howard dinner is $7.50 per person; a choice of roast beef, Johnson's to the Holiday Inn. Those wishing to use ham, or bratwurst is offered. There is a charge of this service should write in advance to Timothy V. $2.50 per person for the bus transportation. Since Fossum, Department of Mathematics, University of space at the Miller Inn is limited, and a reasonably Wisconsin-Parkside, Kenosha, Wisconsin 53141, and precise number of dinner attendees is needed in ad­ inform him of the bus on which they expect to vance, participants planning to attend should make arrive. On weekdays buses leave O'Hare Airport at reservations by Thursday, October 23, atthe latest. 8:15 a.m., 10:15 a.m., 12:20 p.m., 4:45 p.m., and Write to Timothy V. Fossum, or telephone the 9:30p.m. and arrive at Howard Johnson's about an Science Division at the University of Wisconsin, hour later; the buses are marked "Milwaukee" and Parkside, 414-553-2327. leave from the lower level of Carson's Rotunda at Parking O'Hare. Last-minute information can be obtained by Visitor parking is available with a 25¢ permit on calling Continental Air Transport 312-454-7800. The Friday in the Tallent Hall lot east of the main cam­ current bus fare is $7 one-way. Some participants pus. Permits can be purchased in the Tallent Hall may prefer to rent a car at O'Hare Airport. {It is security office. The Union parking lot will be open generally inadvisable to use one of the unauthorized Saturday for visitor parking without a permit. "gypsy" limousine services.) There is also direct bus service from General Travel and Local Information Mitchell Airport in Milwaukee to Kenosha; buses Kenosha is about 100 kilometers north of Chicago leave Mitchell Field at 8:15 a.m. and 4:00 p.m. and about 60 kilometers south of Milwaukee. To Those traveling by way of Milwaukee should also reach the University from Interstate 94 go eastbound write to Professor Fossum, who may be able to make on County Highway E {which is about 15 kilometers special arrangements for ground transportation.

PRESENTERS OF PAPERS

Following each name is the number corresponding to the speaker's position on the program • Invited one-hour lecturers * Special session speakers *Abikoff, W. 65 *Haimo, F. 30 *Lerman, M. 15 *Rubel, L. A. 89 *Abramson, F. G. 76 *Hall, L. M. 55 *Lewin, J. 87 *Sacks, G. E. 73 *Akin, K. 79 *Hall, M. 49 *Libgober, A. S. 26 •Shalen, P. B. 72 *Alperin, R. 48 *Halpern, B. 34 *Maass, W. 77 *Sheingorn, M. E. 64 * Ambos·Spies, K. 38 *Harrington, L. A. 11 *Macbeath, A. M. 16 Shelton, R. M. 8 *Bank, S. B. 88 *Hempel, J. 66 *Masur, H. A. 18 *Shoenfield, J. R. 42 Berner, A. J. 60 *Hinman, P. G. 74 *Millar, T. S. 24 *Shore, R. A. 12 *Cannon, J. W. 17 *Hochster, M. 69 Miller, A. G. 61 *Short, H. B. 56, 62 *Cannonito, F. B. 5 *Hsieh, P.-F. 50 *Miller, D. P. 25 *Sibuya, Y. 51 *Culler, M. 31 *Huneke, C. 68 *Miller, W., Jr. 52 *Sieradski, A. J. 86 •Dolgachev, I. 20 *Jackson, D. A. 45 *Mochizuki, H. Y. 3 *Simpson, S. G. 78 *Dyer, J. L. 2 * J ajodia, S. 85 *Moh, T. T. 70 *Speiser, R. 27 *Edmonds, A. L. 94 *Jockusch, C. G., Jr. 39 *Moore, V. G. 44 *Steel, J. R. 41 *Fine, B. 46 Kaplan, J. B. 10 *Mount, K. 28 *Stob, M. 13 *Floyd, W. 92 *Kauffman, L. H. 95 *Murasugi, K. 93 *Tang, F. C. Y. 83 *Friedman, S. D. 75 *Kechris, A. S. 43 *Nerode, A. 22 *Towber, J. 81 *Gabel, M. R. 82 •Kieene, S. C. 21 *Nicholls, P. J. 19 *Turner, E. C. 32 Garsia, A. M. 58 Kohlmayr, G. F. 9 •Pless, V. S. 71 *Wagreich, P. 36 *Gilman, J. 63 *Kolaitis, P. G. 40 *Posner, D. B. 14 *Waldinger, H. V. *Gingold, H. 90 lang, J. 59 *Ratcliffe, J. G. 84 *Wasow, W. 53 *Goldstein, R. 33 *Lang, W. E. 67 *Raymond, F. 35 Weitkamp, G. 7 *Grimm, L. J. 54 *Lee, K.-B. 37 *Robinson, D. J. S. 4 Zeitlin, D. 57

SOl PROGRAM OF THE SESSIONS

The time limit for each contributed paper in the AMS general sessions is ten minutes. To maintain the schedule, the time limits will be strictly enforced. Abstracts for papers presented in AMS sessions at this meeting will be found in the October 1980 issue of Abstracts of papers presented to the American Mathematical Society. Nu.mbers in parentheses following the listings below indicate the order in which the abstracts are printed in that journal. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting. FRIDAY, 8:00A.M. Special Session on Combinatorial Group Theory. I, 207 Parkside Union 8:00- 8:20 ( 1) Nilpotent products investigated by the Magnus algebra and generalized bracketing. Preliminary report. Professor ANTHONY M. GAGLIONE, U. S. Naval Academy, and Professor HERMANN V. WALDINGER*, Polytechnic Institute of New York (781-A16) 8:30- 8:50 ( 2) On linearity: automorphisms of free groups, and braids. Preliminary report. Professor JOAN L. DYER*, Lehman College and the Graduate Center, City University of New York, and Dr. EDNA K. GROSSMAN, Watson Research Laboratories, IBM, Yorktown Heights (781-M) 9:00- 9:20 ( 3) The automorphism group of a free metabelian group of rank > 3 is not finitely generated Professor HORACE Y. MOCHIZUKI* and Professor SEYMOUR BACHMUTH, University of California, Santa Barbara (781-A 13) 9:30- 9:50 ( 4) Outer automorphisms of infinite soluble groups. Professor DEREK J. S. ROBINSON, University of Illinois, Urbana-Champaign {781-A12) 10:00-10:20 ( 5) Decidable Markov properties and algorithms for solvable groups. Professor F. B. CANNONITO, University of California, Irvine (781-A2) 10:30-10:50 ( 6) Informal discussion chaired by Verena H. Dyson FRIDAY, 8:00 A. M. Session on Logic and Computer Science, 106 Parkside Union 8:00- 8:10 ( 7) A relative Friedberg-Machnik theorem for Kleene degrees. Dr. GALEN WEITKAMP, Pennsylvania State University, University Park (781-E4) 8:15- 8:25 ( 8) Set recursion versus ordinal recursion. RICHARD M. SHELTON, University of Michigan, Ann Arbor (781-E19) 8:30- 8:40 ( 9) A characterization of power sets which implies lnconsis ZFC. GERHARD F. KOHLMA YR, Math model Consulting Bureau, Glastonbury (781-E17) 8:45- 8:55 (1 0) Algorithms of algebraic analysis: generalized Hermite interpolation by partial fraction decomposition. Preliminary report. JULES BROWN KAPLAN, Illinois Institute of Technology (781-C1) (Introduced by Professor Abe Sklar) FRIDAY, 8:30 A. M. Special Session on Recursion Theory. I, 104 Parkside Union 8:30- 8:50 (11) The decidability problem for the recursively enumerable degrees. Professor LEO A. HARRINGTON, University of California, Berkeley (781-E25) 9:00- 9:20 (12) The degrees recursively enumerable in a degree Q_. Preliminary report. Professor RICHARD A. SHORE, Cornell University (781-E18) 9:30- 9:50 (13) Splitting properties and jump classes. Dr. WOLFGANG MAASS,. Dr. MICHAEL STOB*, Massachusetts Institute of Technology, and Professor RICHARD A. SHORE, Cornell University (781-E3) 10:00-10:20 (14) Splitting with minimal degrees. Dr. DAVID B. POSNER, San Jose State University (781-E21) 10:30-10:50 (15) Recursive linear orderings. Preliminary report. Professor MANUEL LERMAN, University of Connecticut, Storrs (781-E1) FRIDAY, 9:00 A. M. Special Session on Discrete Groups and Low-Dimensional Topology. I, 106 Parkside Union 9:00- 9:20 (16) Commensurability of 3-dimensional hyperbolic groups. Professor A. M. MACBEATH, University of Pittsburgh (781-A9) 9:30- 9:50 (17) The combinatorial structure ot cocompact, discrete hyperbolic groups. Professor JAMES W. CANNON, University of Wisconsin, Madison (781-G2)

502 10:00-1 0:20 (18) Interval exchange maps and measured foliations. Preliminary report. Professor HOWARD A. MASUR, University of Illinois at Chicago Circle (781-B1 0) 10:30-10:50 (19) The orbital counting function of a discrete group. Professor PETER J. NICHOLLS, Northern Illinois University (781-B4) FRIDAY, 11:00 A.M. Invited Address, Cinema Theater, Parkside Union 11:00 (20) Torica/ varieties and their applications. Professor IGOR DOLGACHEV, University of Michigan, Ann Arbor (781-A8) FRIDAY, 1:45 P.M. Invited Address, Cinema Theater, Parkside Union 1 :45 (21) The theory of recursive functions, approaching its centennial. Professor STEPHEN C. KLEENE, University of Wisconsin, Madison (781-E2) FRIDAY, 3:00 P. M. Special Session on Recursion Theory. II, D1 05 Molinaro Hall 3:00- 3:20 (22) Recursion theory and algebra. ANIL NERODE, Cornell University (781-E8) 3:30- 3:50 (23) Informal discussion chaired by George Metakides 4:00- 4:20 (24) Type spectrums and decidability. Preliminary report. TERRENCE S. MILLAR, University of Wisconsin, Madison (781-E22) 4:30- 4:50 (25) On the structure of recursively enumerable sets. Preliminary report. DAVID P. Ml LLER, University of Chicago (781-E16) FRIDAY, 3:00P.M. Special Session on Commutative Algebra and Algebraic Geometry. I, 109 Molinaro Hall 3:00- 3:20 (26) Alexander polynomial of plane algebraic curves and cyclic multiple planes. Professor ANATOLY S. LIBGOBER, University of Illinois at Chicago Circle (781-A21) 3:30- 3:50 (27) Enumerative geometry of triangles. Preliminary report. JOEL ROBERTS, University of Minnesota, and ROBERT SPEISER*, Illinois State University (781-A 19) 4:00- 4:20 (28) Singularities in characteristic p. Preliminary report. Professor KENNETH MOUNT, Northwestern University (781-A28) 4:30- 4:50 (29) Informal discussion chaired by M. Pavaman Murthy FRIDAY, 3:00P.M. Special Session on Combinatorial Group Theory. II, D1 01 Molinaro Hall 3:00- 3:20 (30) Roots in infinite symmetric groups. FRANKLIN HAIMO, Washington University (781-A6) 3:30- 3:50 (31) A classification of solutions to quadratic equations over free groups. MARC CULLER, Rice University (781-A32) 4:00- 4:20 (32) Graphing quadratic equations. Professor RICHARD Z. GOLDSTEIN and Professor EDWARD C. TURNER*, State University of New York at Albany (781-A30) 4:30- 4:50 (33) Extending immersions. Preliminary report. Professor RICHARD GOLDSTEIN* and Professor EDWARD TURNER, State University of New York at Albany (781-G10) FRIDAY, 3:00P.M. Special Session on Discrete Groups and Low-Dimensional Topology. I, D1 07 Molinaro Hall 3:00- 3:20 (34) Functions of maximum deficit. Preliminary report. Professor BENJAMIN HALPERN, Indiana University, Bloomington (781-G8) 3:30- 3:50 (35) Three-dimensional Lorentz space forms. Preliminary report. Professor R. S. KULKARNI, Indiana University, Bloomington, and Professor FRANK RAYMOND*, University of Michigan, Ann Arbor (781-Dl) 4:00- 4:20 (36) Growth functions for discrete groups. Professor PHILIP WAGREICH, University of Illinois at Chicago Circle (781-A35) 4:30- 4:50 (37) Realization of the group of self homotopy equivalences on flat manifolds by affine diffeomorphisms. Preliminary report. KYUNG-BAI LEE, University of Michigan, Ann Arbor (781-G9)

503 SATURDAY, 8:00 A. M. Special Session on Recursion Theory. Ill, Dl 05 Molinaro Hall 8:00- 8:20 (38) On pairs of recursively enumerable degrees. KLAUS AM BOS-S PIES, Cornell University (781-E7) (Introduced by Professor Robert I. Soare) 8:30- 8:50 (39) Minimal degrees, hyperimmune degrees, and complete extensions of arithmetic. Preliminary report. Professor C. G. JOCKUSCH, JR.*, University of Illinois, Urbana­ Champaign, and Professor S. G. SIMPSON, Pennsylvania State University, University Park (781-El 0) 9:00- 9:20 (40) Model theoretic characterizations In abstract recursion theory. Dr. PHOKION G. KOLAITIS, University of Chicago (781-E12) 9:30- 9:50 · (41) A classification of jump operators. Professor JOHN R. STEEL, University of California, Los Angeles (781-Ell) 10:00-10:20 (42) The priority method. Preliminary report. Professor JOSEPH R. SHOENFIELD, Duke University (781-E23) 10:30-10:50 (43) On the structure of the hyperprojective hierarchy. Preliminary report. ALEXANDER S. KECHRIS, California Institute of Technology (781-E9) (Introduced by Professor Y. N. Moschovakis)

SATURDAY, 8:00 A. M. Special Session on Combinatorial Group Theory. Ill, Dl 01 Molinaro Hall 8:00- 8:20 (44) Truth-table degrees and semigroup embeddings. Preliminary report. Dr. VARDEMAN G. MOORE, Texas Tech University (781-E13) 8:30- 8:50 (45) A geometric approach to HNN extensions ofsemlgroups. Dr. DAVID A. JACKSON, Ohio State University, Lima Campus (781-A7) 9:00- 9:20 (46) On the elementary matrix groups E 2 ( 0 d) and E ~ (Z [y:d] ). Preliminary report. Professor BENJAMIN FINE, Fairfield University (781-A27) 9:30- 9:50 (47) Informal discussion chaired by Paul E. Schupp 10:00-10:20 (48) Locally compact groups acting on trees. ROGER ALPERIN, University of Oklahoma (781-A18) 10:30-10:50 (49) Groups of exponent 5. Professor MARSHALL HALL, JR., California Institute of Technology (781-A34)

SATURDAY, 8:00A.M. Special Session on Ordinary Differential Equations in the Complex Domain. I, 113 Molinaro Hall 8:00- 8:20 (50) On analytic solutions of nonlinear ordinary differential equations at an irregular type singularity. PO-FANG HSIEH, Western Michigan University (781-85) 8:30- 8:50 (51) Examples of resonance. Preliminary report. Professor Y ASUT AKA Sl BUYA, University of Minnesota, Minneapolis (781-B7) 9:00- 9:20 (52) Intrinsic characterization of separable solutions for the Helmholtz equation. WILLARD MILLER, JR., University of Minnesota, Minneapolis (781-B6) 9:30- 9:50 (53) What are turning points, and how can one reach them? Professor WOLFGANG WASOW, University of Wisconsin, Madison (781-813) 1 0:00-1 0:20 (54) On factorial series solutions of difference systems. Dr. W. J. FITZPATRICK, Logicon, San Pedro, California, and Dr. L. J. GRIMM*, University of Missouri, Rolla (781-Bl) 10:30-10:50 (55) Normal solvability for singular Pfafflan systems. Preliminary report. Professor LEON M. HALL*, University of Nebraska, Lincoln, and Professor LOUIS J. GRIMM, Umversity of Missouri, Rolla (781-Bll)

SATURDAY, 8:00 A. M. Session on Algebra, 109 Molinaro Hall 8:00- 8:10 (56) Combinatorial group theory diagrams and Britton's lemma. H. B. SHORT, Institute de Mathematicas, Ciudad Universitaria, Mexico (781-A33) (Introduced by Professor Paul T. Bateman) 8:15- 8:25 (57) Parametric solutions for a sum of N distinct and positive cubes equal to a single cube (N = 5, 7, 11 ). Dr. DAVID ZEITLIN, Minneapolis (781-A20)

504 8:30- 8:40 (58) A Rogers-Ramanujan bijection. A. M. GARSIA*, University of California, San Diego, and S.M. MILNE, Texas A & M University (781-A22) 8:45- 8:55 (59) On a formula of Richard Gonong. JEFFREY LANG, Purdue University (781-A 17) SATURDAY, 8:00A.M. Session on Topology, D1 07 Molinaro Hall 8:00- 8:10 (60) Almost continuous functions with closed graphs. Dr. ANDREW J. BERNER, University of Dallas (781-G3) 8:1 5- 8:25 (61) The covering Isotopy property. Preliminary report. A. G. Ml LLER, University of Connecticut, Storrs (781-G11) SATURDAY, 8:30A.M. Special Session on Discrete Groups and Low-Dimensional Topology. II, D107 Molinaro Hall 8:30- 8:50 (62) Group theory and three-dimensional manifolds. H. B. SHORT, lnstituto de Mathematicas, Ciudad Universitaria, Mexico (781-G13) (Introduced by Professor Paul T. Bateman) 9:00- 9:20 (63) On pseudo-Anosov diffeomorphlsms. Preliminary report. Professor JANE GILMAN, Rutgers University, Newark (781-A5) 9:30- 9:50 (64) Transitivity for Fuchs/an groups. Preliminary report. Professor MARK E. SHEINGORN, Baruch College, City University of New York (781-BS) 10:00-1 0:20 (65) b-function groups and formally Klein/an groups. Professor WILLIAM ABI KOFF, University of Illinois, Urbana-Champaign (781-B12) 10:30-10:50 (66) Homology of coverings. Preliminary report. Professor JOHN HEMPEL, Rice University (781-GS) SATURDAY, 9:00A.M. Special Session on Commutativ" Algebra and Algebraic Geometry. II, 109 Molinaro Hall 9:00- 9:20 (67) Classical Godeaux surfaces in characteristic p. Dr. WILLIAM E. LANG, University of California, Berkeley (781-A26) 9:30. 9:50 (68) Ideals with Cohen-Macaulay-Koszul homology. Preliminary report. Dr. CRAIG HUNEKE, University of Michigan, Ann Arbor (781-A 11) 10:00-10:20 (69) Some open questions In local algebra. Preliminary report. MELVIN HOCHSTER, University of Michigan, Ann Arbor (781-A23) 10:30.1 0:50 (70) Embeddings of the line In characteristic p. Preliminary report. Professor T. T. MOH, Purdue University (781-A 15) SATURDAY, 11:00 A.M. Invited Address, Cinema Theater, Parkside Union 11:00 (71) Main problems in coding. Professor VERAS. PLESS, University of Illinois at Chicago Circle (781-A3) SATURDAY, 1:45 P.M. Invited Address, Cinema Theater, Parkside Union 1:45 (72) Three-manifolds, linear groups, and algebraic varieties. Professor PETER B. SHALEN, Rice University (781-G12) SATURDAY, 3:00 P. M. Special Session on Recursion Theory. IV, D1 OS Molinaro Hall 3:00- 3:20 (73) Generic extensions of E-c/osed structures. Preliminary report. Professor GERALD E. SACKS, Harvard University and Massachusetts Institute of Technology (781-E6) 3:30. 3:50 (74) A selection theorem In set recursion. Preliminary report. Professor PETER G. HINMAN, University of Michigan, Ann Arbor (781-E24) 4:00. 4:20 (75) Some natural solutions to Post's problem. Preliminary report. Professor SY D. FRIEDMAN, Massachusetts Institute of Technology (781-E14) 4:30. 4:50 (76) Recursion theoretic principles in admissible sets. Professor FRED G. ABRAMSON, University of Notre Dame and University of Wisconsin, Milwaukee (781-E20) 5:00. 5:20 (77) Recursively Invariant {J-recursion theory. Dr. WOLFGANG MAASS, Massachusetts Institute of Technology (781-ES) (Introduced by Professor Robert I. Soare) 5:30- 5:50 (78) Recent results in Kleene recursion theory. Professor STEPHEN G. SIMPSON, Pennsylvania State University, University Park (781-E1 5) sos SATURDAY, 3:00 P. M. Special Session on Commutative Algebra and Algebraic Geometry. Ill, 109 Molinaro Hall 3:00- 3:20 (79) Characteristic-free resolutions of determinantal ideals. Preliminary report. Dr. KAAN AKIN, Massachusetts Institute of Technology (781-A24) 3:30- 3:50 (80) Informal discussion chaired by John A. Eagon 4:00- 4:20 (81) Representation-functors. Professor JACOB TOWBER, DePaul University (781-A31) (Introduced by Professor Joel L. Roberts) 4:30- 4:50 (82) Generation and projective generation of ideals. Professor MICHAEL RANDY GABEL, George Mason University (781-A 1) SATURDAY, 3:00P.M. Special Session on Combinatorial Group Theory. IV, 0101 Molinaro Hall 3:00- 3:20 (83) Some residually finite 1-relator groups. Dr. R. B. J. T. ALLENBY, University of Leeds, England, and Professor F. C. Y. TANG*, University of Waterloo (781-A25) 3:30- 3:50 (84) Finitely identified groups. Professor JOHN G. RATCLIFFE, University of Wisconsin, Madison (781-A 10) 4:00- 4:20 (85) Combinatorial equivalence between group presentations. Dr. SUSHIL JAJODIA, University of Wisconsin, Stevens Point (781-A14) 4:30- 4:50 (86) Aspherical group presentations. ALLAN J. SIERADSKI, University of Oregon, Eugene (781-A29) 5:00- 5:20 (87) Projective modules over group-algebras of one-relator groups. Professor JACQUES LEWIN, Syracuse University (781-A36) SATURDAY, 3:00P.M. Special Session on Ordinary Differential Equations in the Complex Domain. II, 113 Molinaro Hall 3:00- 3:20 (88) On Briot-Bouquet differential equations and a question of Einar Hille. Professor STEVEN B. BANK* and Professor ROBERT P. KAUFMAN, University of Illinois, Urbana-Champaign (781-B9) 3:30- 3:50 (89) An elimination theorem for systems of algebraic differential equations. Professor LEE A. RUBEL, University of Illinois, Urbana-Champaign (781-83) 4:00- 4:20 (90) A new basis for singularity perturbed problems in a complex domain. A representation theorem. Dr. HARRY GINGOLD, Western Michigan University (781-B2) (Introduced by Professor Donald A. Lutz) 4:30- 4:50 (91) Informal discussion of Gevrey classes under the Chairmanship of B. Malgrange SATURDAY, 3:00P.M. Special Session on Discrete Groups and Low-Dimensional Topology. Ill, D1 07 Molinaro Hall 3:00- 3:20 (92) Branched surfaces and incompressible surfaces in 3-manifolds. Preliminary report. WILLIAM FLOYD*, University of Michigan, Ann Arbor, and ULRICH OERTEL, Michigan State University (781-G7) 3:30- 3:50 (93) Torsion elements in braid groups and related groups. Professor KUNIO MURASUGI, University of Toronto (781-G4) 4:00- 4:20 (94) Triangle groups and tessellations of surfaces. Professor ALLAN L. EDMONDS, Indiana University, Bloomington (781-G6) 4:30- 4:50 (95) The theory of the unknot. Preliminary report. Professor LOUIS H. KAUFFMAN, University of Illinois at Chicago Circle (781-G1) Paul T. Bateman Ann Arbor, Michigan Associate Secretary

506 Knoxville, November 14-15, 1980, University of Tennessee Second Announcement of the 782nd Meeting

The seven hundred eighty-second meeting of the to the deadline of September 19. If necessary, late American Mathematical Society will be held at the papers will be accepted for presentation, but will not University of Tennessee, Knoxville, from noon be listed in the printed program of the meeting. Friday to 5:00p.m. Saturday, November 14 and 15, Registration 1980. Sessions will be held in the University Center, The registration desk will be in Room 329 of the Cumberland Avenue and Stadium Drive. University Center, and will be open from 10:00 a.m. Invited Addresses to 4:00p.m. on Friday, November 14, and from By invitation of the Committee to Select Hour 8:30 a.m. to noon on Saturday, November 15. The Speakers for Southeastern Sectional Meetings there registration fees for the meeting will be $5 for non­ will be three invited one-hour addresses. The speakers members, $3 for members of the American Mathe­ and titles of their talks are: matical Society, and $1 for students or unemployed FRANK QUINN, Virginia Polytechnic Institute persons. and State University, The topological characterization Accommodations of manifolds. Although accommodations are available at sev- DAVID G. SCHAEFFER, Duke University, eral local motels within walking distance of the meet· Qualitative analysis of the Taylor problem In a finite ing, blocks of rooms have been set aside at the cylinder via singularity theory. following locations. Participants should make their DON ZAGIER, University of Maryland and own reservations directly with the motels, and identify Universitiit Bonn, Special values of L series attached themselves as participants in the AMS meeting. Res· to modular forms. ervations for these rooms must be received no later Special Sessions than October 15, 1980. By invitation of the same committee, there will Sheraton Campus Inn (0.3 mile) be three special sessions of selected twenty-minute 1706 Cumberland Avenue, S.W. papers. The topics of these special sessions, their Telephone: 615-524-4681 organizers, and the tentative list of speakers are: Single $22 Double $27 Free boundary problems, LAWRENCE C. EVANS, $6 per additional person University of Maryland, College Park. The tentative University Travel Inn (0.4 list of speakers includes Roger R. Alexander, Joannis mile) 1700 Clinch Avenue, S.W. Athanasopoulos, John Cannon, Colin Cryer, Emma· Telephone: 615-546-5974 nuele DiBenedetto, Lawrence C. Evans, Robert Single $19 plus tax-U.T. Student Rates Jensen, Bruce Turkington, R. E. White, and George Wilson. Double $26 plus tax $5 per additional person Geometric topology, STEVEN C. FERRY, Uni­ versity of Kentucky, Lexington. The tentative list Holiday Inn (1 mile) of speakers includes John Bryant, Jim Cannon, 621 Dale Avenue Thomas Chapman, John Hollingsworth, Wu-Chung Telephone: 615-525-5371 Hsiang, Larry Husch, George Kozlowski, Chris Single $22 Double $29 Lacher, Gerard Venema, and John Walsh. $4 per additional person Number theory, CARL POMERANCE, University Holiday Inn (1 mile) of Georgia, Athens. The tentative list of speakers Downtown Chapman Highway includes Krishnaswami Alladi, Richard F. Arenstorf, Telephone: 615-573-1921 Joel V. Brawley, Jr., E. Rodney Canfield, Harold G. Single $25 Double $34 Diamond, John D. Fulton, Joseph L. Gerver, Robert $4 per additional person Gold, J. S. Hsia, Robert M. McConnel, Randy Tuler, Hyatt and Samuel S. Wagstaff, Jr. Regency Knoxville (1.5 miles) Most of the papers to be presented at these spe­ 500 E. Hill Avenue cial sessions will be by invitation. Anyone contrib­ Telephone: 615-637-1234 uting an abstract for the meeting who felt that his or Single $41 Double $41 her paper would be particularly appropriate for one Weather of these sessions should have indicated this clearly The average mean temperature during the month on the abstract. The abstract should have been sub· of November is 60.9oF. The average rainfall for the mitted by August 29, 1980. month of November is 2.67 inches, and the probable percent of sunshine Is 60%. Contributed Papers There will be sessions for contributed ten-minute Food Service and Entertainment papers. Abstracts should have been submitted to the Food service is available in the University Center American Mathematical Society so as to arrive prior and in each motel listed. Numerous fast food places

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r--- i i are located adjacent to the campus on Cumberland $7 per person. Knoxville is accessible by automoblle Avenue. A list of restaurants and their locations will via Interstates 1-40 and 1-75; exits to the University be available at the registration desk. Refreshments are clearly marked. Parking facilities on campus will will also be available throughout the meeting. be arranged. A beer party is planned for Friday evening. Emergency Messages Travel Messages may be left at the office of the Depart­ Knoxville is located in eastern Tennessee and is ment of Mathematics: 615-974-2462. served by a major airport, as well as Greyhound and Frank T. Birtel Trailway bus lines. Limousine service is available Louisiana Associate Secretary from the airport to the University campus and costs New Orleans, Organizers and Topics of Special Sessions Names of organizers of special sessions to be Frederick R. Cohen held at meetings of the Society are listed below, Homotopy theory along with the topic of the session. Most of the M. Deza and Ronald L. Graham papers presented at special sessions are by invitation. L1 and related metric spaces Other papers will be considered at the request of the Donald W. Dubois author provided that this is indicated clearly on the Ordered fields and real algebraic geometry abstract form and it is submitted by the deadlines Richard S. Elman given below. These deadlines are usually three weeks Quadratic form theory earlier than the normal abstract deadlines for meet­ Garret J. Etgen and Kurt Kreith ings. Papers not selected for special sessions will Qualitative theory of differential equations automatically be considered for regular sessions unless Robert P. Gilbert the author gives specific instructions to the contrary. Elliptic systems in the plane W. Hirsch November Meeting in Knoxville Morris Geometric structures on manifolds Deadline: Expired Joel L. Lebowitz Lawrence C. Evans Mathematical physics Free boundary problems S. J. Lomonaco, Jr. topology Steven C. Ferry Low dimensional Geometric topology Melvyn B. Nathanson and Don Redmond Carl Pomerance Number theory Number theory Roy Ryden and Hank Tropp History of contemporary mathematics January 1981 Meeting in San Francisco Arthur Schlissel History of mathematics Deadline: October 8 Glenn E. Schober Michael Aschbacher, David Goldschmidt and Daniel Topics in complex variables Gorenstein Claude A. Schochet Classification of finite simple groups Operator algebras and K-theory Gary Chartrand and Arthur T. White Alexander P. Stone Graph theory Differential geometry and global analysis Revised Procedures Effective February 1981 Special sessions at Annual and Summer meetings are held under the general supervision of the Program Committee. They are administered by the Associate Secretary in charge of the meeting with staff assistance from the Society office in Providence. Some special sessions arise from an invitation to a proposed organizer issued through the Asso· ciate Secretary. Others are spontaneously proposed by interested organizers or participants. Such pro· posals are welcome. They may be submitted to the Associate Secretary, to the Chairman of the Pro· gram Committee, or to the Secretary, who is a member of the Program Committee. Beginning with the Summer Meeting of 1981, the number of special sessions at a Summer or Annual Meeting is limited to twelve. Proposals, invited or offered, which are received at least eight months prior to the meeting are screened for suitability of the topic and of the proposed list of speakers and for possible overlap or con· flict with other proposals. If necessary, the numerical limitation is enforced. Later proposals, within the numerical limit, are accepted if convenience allows. Special sessions are effective at regional meetings and can usually be accommodated. They are arranged by the Associate Secretary under the supervision of the Committee to invite Hour Speakers for the region. The limitation on the number of sessions depends on the space and time available. No person is entitled to present more than one paper in the special sessions at any one meeting. The Associate Secretary who will be in charge of the AMS program at the Summer Meeting in Pittsburgh, August 1981, is Frank T. Birtel. The programs of regional meetings are arranged by the Associate Secretary of the region in question: Far Western Region (Pacific and Mountain), Kenneth A. Ross; Western Region (Midwest), Paul T. Bateman; Northeastern Region, Raymond G. Ayoub; South· eastern Region, Frank T. Birtel.

509 SAN FRANCISCO MEETINGS, january 7-11, 1981 First Announcement

The January 1981 Joint Mathematics Meetings, 87TH ANNUAL MEETING OF THE AMS including the 87th Annual Meeting of the AMS, the January 7-10, 1981 1981 annual meeting of the Association for Sym­ Fifty-fourth Josiah Willard Gibbs Lecture. The bolic Logic, and the 64th annual meeting of the 1981 Gibbs Lecture will be presented at 8:30 p.m. Mathematical Association of America, will be held on Wednesday, January 7, by CATHLEEN S. MORA­ January 7-11 (Wednesday-Sunday), 1981, in San WETZ of the Courant Institute of Mathematical Sci­ Francisco, California. The meetings will be preceded ences. Professor Morawetz will speak on The Mathe­ by the AMS Short Course on January 5-6 (Monday­ matical approach to the sonic barrier. Tuesday), 1981. The members of the Local Arrangements Com­ Colloquium Lectures. There will be one series of mittee are Donald J. Albers, Lenore Blum, William four Colloquium Lectures presented by MARK KAC G. Chinn (chairman), Morris W. Hirsch, T. Y. Lam, of Rockefeller University. The title of the lecture William J. LeVeque (ex officio), Yiannis N. Moscho­ series is Some mathematical problems suggested by vakis, Robert Osserman, Kenneth R. Rebman (pub­ questions in physics. The lectures will be given at licity director), David P. Roselle (ex officio), and 1:00 p.m. daily, Wednesday through Saturday, Jan­ Kenneth A. Ross (ex officio). uary 7-10. Retiring Presidential Address. PETER D. LAX • • • • • of the Courant Institute of Mathematical Sciences WHERE TO FIND IT PAGE will speak at 10:45 a.m. on Thursday, January 8, on ANNUAL MEETING OF AMS 510 The influence of computing on mathematics. Gibbs and Colloquium Lectures, 1981 Oswald Veblen Prize in Geometry. The Presidential and Invited Addresses, ninth award of the Veblen Prize will be made at Special Sessions, Contributed Papers, 4:00 p.m. on Thursday, January 8. Council and Business Meetings, Prizes AMS Invited Addresses AMS SHORT COURSE 516 By invitation of the Program Committee, there MAA MINICOURSE 514 will be eight invited one-hour addresses. The speak­ ers, some of the titles, and the times of their talks OTHER ORGANIZATIONS 514 are as follows: ASL,AWM,CBMS,MAA,MAG,NCTM SHMUEL AGMON, Hebrew University, Israel, and the University of Virginia, How do eigenfunc­ PREREGISTRATION AND HOUSING 511 tions decoy-some recent results, 3:30p.m. Friday. EMPLOYMENT REGISTER 512 GREGORY V. CHUDNOVSKY, Columbia Univ­ TIMETABLE 517 ersity, An explicit solution of classical and quantum field theory models and parallel arithmetical prob­ OTHER EVENTS 514 lems: A unified approach, 2:15 p.m. Thursday. Book Sales, Employment Register, hhibits, NSF, Second-Hand Book Exchange DEADLINES INFORMATION FOR PARTICIPANTS 518 Abstracts for consideration Hotel Accommodations, Map, for special sessions October 8 Registration at Meeting, Abstracts, contributed papers October 22 Registration Desk Services Employment Register November 7 Preregistration and Housing November 7 MISCELLANEOUS INFORMATION 522 Preregistration cancellations Child Care, Entertainment, Local Information, (50% refund) January 4 Parking, Travel, Weather

IMPORTANT INFORMATION ON PREREGISTRATION AND HOUSING Preregistration/housing request forms, appropriate registration fee(s), and the applicant and employer forms for the Employment Register, must be received in Providence no later than November 7, 1980, because of an early cutoff date established by the San Francisco hotels. These forms will not be reprinted in the November issue of the Notices for this reason. See the boxes on preregistration on pp. 511 and 512 for details. Participants should be aware that, because of prior commitments by the hotels to other meetings just before and just after the mathematics meetings, it may not be possible to change to earlier arrival or later departure dates than those originally supplied on the preregistration/housing form.

510 MEETING PREREGISTRATION AND HOUSING

Preregistration. Preregistration for these meetings Reservations will be made in accordance with prefer­ MUST BE COMPLETED by November 7, 1980. All ences indicated on the reservation request form, insofar those wishing to preregister must complete the form as this is possibleL and all reservations will be confirmed a~ which appears at the back of this issue of the Notices to hotel and type of room (but NOT rate) by the San and submit it along with the appropriate fee(s) to the Francisco Convention and Visitors Bureau. The following Mathematics Meetings Housing Bureau in Providence BY hotels will reconfirm to the participant, giving the rate NOVEMBER 7, 1980. assigned: Bellevue Hotel Preregistration fees. Preregistration fees do not repre­ Commodore Hotel sent an advance deposit for lodgings. One must, h.owever, The San Francisco Hilton Hotel & preregister for the meetings in order to obtain confirmed Tower Holiday Inn/Union Square hotel accommodations through the Mathematics Meetings Housing Bureau, as outlined in the column to the right. Sir Francis Drake Sutter Hotel Please note that separate fees are required for the AMS Participants receiving assignments Short Course, MAA Minicourse, Joint Mathematics Meet­ at hotels not listed ings, and for employers wishing to participate in the above and who are concerned about the rate they will pay, should write to the hotel direct upon receipt Employment Register. In addition, a separate check is re­ of the Bureau confirmation. Please note, quired for the MAA Minicourse, payable to MAA. Those however, that the El Cortez Hotel offers only one rate who preregister for the AMS Short Course, Joint Mathe­ for most rooms. Deposit requirements vary from matics Meetings, and Employment Register, pay lower hotel to hotel, and participants will be informed of any such requirement fees than those who register at the meetings. The preregis­ directly tration fees are as follows: by the hotels.

AMS SHORT COURSE DO NOT INCLUDE PAYMENT FOR YOUR HOUS­ Student/Unemployed $ 5 ING WITH MEETING PREREGISTRATION FEE(S). All All Other Participants 25 reservation requests must be received in writing and pro­ cessed through the Housing Bureau in Providence. Tele­ phone requests JOINT MATHEMATICS MEETINGS will not be accepted. The number of rooms being held by the San Francisco Member of AMS, ASL, MAA, NCTM $32 hotels at all rates is limited. Housing assignments are made Nonmember 49 on a first-come, first-served basis, so participants desiring Student/Unemployed 6 low-cost accommodations are urged to get their housing requests in as early as possible. HOUSING REQUESTS MAA MINICOURSE RECEIVED AFTER THE DEADLINE OF NOVEMBER All Participants $15 7 MOST SURELY CANNOT BE HONORED BECAUSE A $2 charge will be imposed for all invoices prepared OF THE EARLY CUTOFF DATE ESTABLISHED BY THE SAN FRANCISCO HOTELS. Participants should also when preregistration forms are submitted without accom­ be aware that the special rates being offered in the sec­ panying check(s) for the preregistration fee(s). or are tion titled Hotel Accommodations may not be available accompanied by an amount insufficient to cover the total after November 7. fee{s). Preregistration forms received well before the dead­ line of November 7, which are not accompanied by cor­ Participants should rank EVERY hotel on the housing rect payment, will be returned to the participant with a form in the order of preference, and circle the type of request for resubmission and full payment. Note: This room and the rate desired. Participants who rank only a could delay the participant's housing assignment so that few of the hotels may find themselves assigned to a par­ the desired hotel and/or type of room are no longer ticular hotel room or rate which is not satisfactory. If available. some hotels are not ranked, and the type of room and A fifty percent refund of the preregistration fee(s) rate requested are not available at any of the hotels will be made for all cancellations received in Providence ranked, the housing assignment will be made at an un­ no later than January 4, 1981. No refunds will be granted ranked hotel with a similar type of room available at the for cancellations received after that date, or to persons NEXT LOWEST RATE. Participants interested in receiv­ who do not attend the meetings. ing housing assignments based on criteria other than rate Those who preregister for the Joint Mathematics {such as distance from the Hilton) are urged to rank all Meetings and the MAA Minicourse may pick up their hotels listed on the form in order of preference. badges and other material in San Francisco after 4:00 Participants who are able to do so are urged to share p.m. on Tuesday, january 6. Those who preregister for a room whenever possible. This procedure can be econom­ the AMS Short Course may pick up their material after ically beneficial. The housing form should be fully com­ 9:00 a.m. on Monday, January 5. pleted to ensure proper assignment of rooms. Participants planning to share accommodations should Mathematics Meetings Housing Bureau. The form for provide the name of each person with whom they plan requesting accommodations will be found at the back of to occupy a room. Each person should, however, this issue. of the Notices. The use of the services offered complete a separate preregistration form. It would be helpful by the Mathematics Meetings Housing Bureau requires pre­ to receive the forms in Providence at the same registration for the meetings. Persons desiring confirmed time from all parties wishing to share the same room. hotel_ accommodations should complete the form, or a reasonable facsimile, and send it to the Mathematics Meet­ Please make all reservation changes with the Housing ings Housing Bureau, P.O. Box 6887, Providence, Rhode Bureau in Providence prior to January 2. After that date, Island 02940, SO THAT IT WILL ARRIVE NO LATER changes and cancellations must be made directly with the THAN NOVEMBER 7. Forms sent to the wrong address hotels. and thus incurring delay in delivery to the Housing Bureau The hotels and rates available are listed in the section until after the deadline date will not be accepted. titled Hotel Accommodations.

511 EMPLOYMENT REGISTER PREREGISTRATION

Employment Register. Those who plan to participate will be necessary to indicate the number of interviewers in the Employment Register, are urged to preregister. who may be assigned interviews simultaneously. Special forms for the Register should be completed by A coded strip summarizes the information on appli­ both applicants and employers and submitted with the cants and employers; it appears at the bottom of the spec­ preregistration form for the ]oint Mathematics Meetings. ial forms for the Register. Please be sure to provide the Deadline for receipt of applicant and employer forms is coded summary in addition to completing the resume November 7, 1980, the same preregistration deadline as form which will be posted at the meeting. The strips will for the ]oint Meetings. These special forms for the Regis· be used to prepare printed lists of preregistered employers ter, as well as the preregistration form for the ]oint and applicants which will be distributed free of charge to Meetings, appear at the back of this issue of the Notices. those who complete the special preregistration process for Preregistration will not only facilitate procedures, but will the Employment Register described above. Other partici­ help to reduce waiting time when the Employment Regis­ pants may obtain copies of the printed lists at the meeting ter opens in San Francisco. for $1 each. Employers are encouraged to provide more than one At the suggestion of the AMS-MAA-SIAM Committee interviewer when they are able to do so, in order to in­ on Employment Opportunities an attempt will be made to crease the number of interviews which may be scheduled. assist employers who would like to know which applicants Please indicate the number of interviewers for whom will be on the AMS program in San Francisco as contribu­ simultaneous interviews may be scheduled. If all interview· tors of ten-minute papers. A place is available on the Ap­ ers will be interviewing for the same position, or set of plicant Form where those expecting to present papers may positions, only one form should be submitted. If, however, so indicate. separate "teams" of interviewers will interview for distinct positions {or for groups of positions), separate forms will For more information about the Employment Register, be required for each group of positions. On each form it see the section Other Events of Interest.

R. KEITH DENNIS, Cornell University, Stabiliz­ berg, Branko Griinbaum, Joan P. Hutchinson, Paul C. ation in algebraic K-theory, 2:15p.m. Wednesday. Kainen, Hudson V. E. Kronk, Linda Lesniak-Foster, FEZA GURSEY, Yale University, Quaternion Bennet Manvel, Zevi Miller, Torrence D. Parsons, functions and the solution of gauge field equations, Viera Krnanova Proulx, Richard Delose Ringeisen, 2:15p.m. Friday. Cecil C. Rousseau, janet Simpson, Saul Stahl, Charles JAMES E. HUMPHREYS, University of Massa­ Suffel, William T. Trotter, Jr., and Curtiss E. Wall. chusetts, Amherst, Some problems in the cohomol­ Homotopy theory (e), organized by FREDERICK ogy of algebraic groups, 9:30 a.m. Thursday. R. COHEN of the University of Kentucky. A partial DENNIS SULLIVAN, University of Colorado, list of speakers is Donald W. Anderson, Ralph Cohen, 10:30 a.m. Wednesday. james P. Lin, Mark Mahowald, j. Peter May, Haynes MASAMICHI TAKESAKI, University of Califor­ R. Miller, Joseph Neisendorfer, Paul S. Selick, and nia, Los Angeles, Report on von Neumann algebras, Victor P. Snaith. 2:15 p.m. Saturday. L1 and related metric spaces (•), organized by MICHELE VERGNE, Massachusetts Institute of M. DEZA and RONALD L. GRAHAM of Bell Lab­ Technology, Some geometrical aspects of representa­ oratories in Murray Hill, New Jersey. The list of tions of Lie groups, 3:30p.m. Wednesday. speakers includes R. Alexander, P. Assouad, D. Avis, Eiichi Bannai, Persi W. Diaconis, Edward R. Howorka, Special Sessions lvo G. Rosenberg, W. C. Thompson, Stanislaw M. Ulam, and Hans S. Witsenhausen. In consultation with the Program Committee, Ordered fields and real algebraic geometry (*), seventeen sessions of selected papers are scheduled. organized by DONALD W. DUBOIS of the Univer­ Sessions followed by an asterisk (*) will be restricted sity of New Mexico. The fist of speakers will include to Wednesday and to Thursday morning. Sessions Carlos Andradas, Gregory W. Brumfiel, Charles N. followed by a black dot (•) will be restricted to Delzell, Andreas W. M. Dress, Gustave A. Efroymson, Thursday afternoon, Friday afternoon, and Saturday Victor Espino, Robert Gilmer, Melvin Henriksen, afternoon. john R. Isbell, jonathan L. Merzel, Joe L. Mott, Classification of finite simple groups (•), organ­ Jack E. Ohm, Albrecht Pfister, Tomas Recio, Alex ized by MICHAEL ASCHBACHER of the California Rosenberg, Heinz-Werner Schulting, Niels C. Schwartz, Institute of Technology, DAVID GOLDSCHMIDT Daniel B. Shapiro, A. Tognoli, T. M. Viswanathan, of the University of California, Berkeley, and DANIEL and Roger P. Ware. GORENSTEIN of Rutgers University. A partial list Quadratic form theory (•), organized by RICH­ of speakers is Michael Aschbacher, David Gold­ ARD S. ·ELMAN of the University of California, Los schmidt, Daniel Gorenstein, Robert Louis Griess, Jr., Angeles. The list of speakers is Lawrence Berman, Geoffrey Mason, Gary M. Seitz, and Ronald M. Ronald P. Brown, Craig M. Cordes, Thomas C. Craven, Solomon. Andrew G. Earnest, Robert Fitzgerald, Alexander J. Graph theory (e), organized by GARY CHAR­ Hahn, J. S. Hsia, Bill jacobs, Donald G. james, TRAND and ARTHUR T. WHITE of Western Mich­ Jerrold L. Kleinstein, David B. Leep, Murray Marshall, igan University. The list of known speakers is Stefan Bernard R. McDonald, Takashi Ono, Arnold K. Pizer, Andrus Burr, A. Keewatin Dewdney, Richard A. Paul Ponomarev, Olga Taussky-Todd, and joseph L. Duke, Vance Faber, joseph A. Gallian, Mark Gold- Yucas.

512 Qualitative theory of differential equations (•), Cohen, Edward George Effros, D. Handelman, Jerry organized by GARRET J. ETGEN of the University Kaminker, Calvin C. Moore, H. Moscovici, William of Houston, and KURT KREITH of the University L. Paschke, Jonathan M. Rosenberg, and Norberto of California, Davis. A related "warm up" meeting Salinas. There will be a problem session led by Effros. is scheduled to be held at the Davis campus of the Differential geometry and global analysis (•), University of California prior to the San Francisco organized by ALEXANDER P. STONE of the Univer­ meeting. sity of New Mexico. Elliptic systems in the plane (•), organized by Most of the papers to be presented at these ROBERT P. GILBERT of the University of Delaware. special sessions will be by invitation; however, anyone Geometric structures on manifolds (•), organized contributing an abstract for the meeting who feels by MORRIS W. HI R,SCH of the University of Califor­ that his or her paper would be particularly appro­ nia, Berkeley. A partial list of speakers is David priate for one of these sessions should indicate this Fried, William Mark Goldman, Troels Jorgenson, clearly on the abstract and should submit it by Steven P. Kerckhoff, and Shoshichi Kobayashi. October 8, 1980, two weeks earlier than the normal Mathematical physics (•), organized by JOEL L. deadline for contributed papers, in order that it may LEBOWITZ of Rutgers University. A partial list of be considered for inclusion. speakers is Michael Aizenman, J. Avron, Jean Bric­ Contributed Paper Sessions mont, Russel Caflisch, Mitchell Feigenbaum, Sheldon Goldstein, Charles M. Newman, Barry Simon, Isadore There will be sessions for contributed papers M. Singer, Leonard Susskind, and M. John Westwater. Wednesday morning and afternoon, Thursday morn­ Low dimensional topology (•), organized by S. J. ing and afternoon, Friday afternoon, and Saturday LOMONACO, Jr., who is visiting at the University afternoon. Abstracts should be prepared on the of Oregon, while on leave from SUNY, Albany. A standard AMS form available from the AMS office partial list of speakers is Andrew Cassen, Michael in Providence or in departments of mathematics, and Dyer, Michael Freedman, Lee Neuwirth, Dale Rolf­ should be sent to the AMS, P. 0. Box 6248, Provi­ sen, Martin Scharlemann, and Dennis Sjerve. dence, Rhode Island 02940, so as to arrive by the Number theory (•), organized by MELVYN B. abstract deadline of October 22, 1980. Members are NATHANSON and DON REDMOND of Southern reminded that a typing charge of $7 is imposed for Illinois University, Carbondal·e. The list of known retyping abstracts that are not in camera-ready form. speakers is Tom M. Apostol, RichardT. Bumby, Late papers will be accepted for presentation at the David V. Chudnovsky, Thomas W. Cusick, P. D. T. A. meeting, but will not be listed in the printed program. Elliott, Paul Erdos, Dorian Goldfeld, Larry J. Gold­ Audio-Visual Equipment stein, Ronald L. Graham, Douglas A. Hensley, Neil B. Hindman, James G. Huard, Melvyn B. Nathanson, Rooms where special sessions and contributed Don Redmond, and Sanford L. Segal. paper sessions will be held will be equipped with an History of contemporary mathematics (Wednes­ overhead projector and screen. Blackboards will not day), organized by ROY RYDEN and HANK TROPP be available. of Humboldt State University. Fifty-minute talks Committee on Employment will be given by Garrett Birkhoff, Felix E. Browder, Hugh L. Montgomery, Stephen Smale, Harold M. and Educational Policy (CEEP) Stark, and John Todd. A meeting of department heads is being planned History of mathematics (Thursday morning and for 7:30p.m. on Thursday, January 8, which will Friday afternoon), organized by ARTHUR SCHLIS­ include a panel discussion on Maintaining vitality in SEL of the CUNY, John Jay College of Criminal graduate programs in the 1980's. This panel discus­ Justice. A tentative list of speakers includes Paul T. sion is being organized by Edward A. Connors of the Bateman, George P. Dantzig, K. Dieudonne, Lars University of Massachusetts, Amherst, and Donald C. G~rding, Herman Goldstein, Frank C. Hoppensteadt, Rung of Pennsylvania State University. The names Mark Kac, Kurt Kreith, Jerzy Neyman, Clifford A. of the panel members will be announced in the Truesdell Ill, and Wolfgang R. Wasow. November Notices. Topics in complex variables (•), organized by GLENN E. SCHOBER of Indiana University. The pre­ Council Meeting liminary list of speakers includes Albert Baernstein The Council of the Society will meet at 2:00 II, James E. Brennan, Louis Brickman, David Drasin, p.m. on Tuesday, January 6, in Continental Parlors Peter L. Duren, Carl H. Fitzgerald, Wolfgang H. 1 and 2 at the Hilton. Fuchs, Frederick W. Gehring, Walter Hengartner, Business Meeting William E. Kirwan II, Boris Korenblum, Thomas H. M,acGregor, Lee A. Rubel, Allen L. Shields, Stephen The Business Meeting of the Society will take Smale, David A. Stegenga, Ted J. Suffridge, Stefan place at 5:00 p.m. on Thursday, January 8, in the E. Warschawski, and Jang-Mei Gloria Wu. Continental Ballroom at the San Francisco Hilton. Operator algebras and K-theory (•), organized The secretary notes the following resolution of the by CLAUDE L. SCHOCHET of Wayne State Univer­ Council: Each person who attends a Business Meet­ sity. A preliminary list of speakers is William B. ing of the Society shall be willing and able to iden­ Arveson, Paul F. Baum, Bruce E. Blackadar, Joel tify himself as a member of the Society. In further

513 Committee on the Agenda for Business Meetings The Society has a Committee on the Agenda for Business Meetings. The purpose is to make Business Meetings orderly and effective. The committee does not have legal or administrative power. It is intended that the committee consider what may be called "quasi-political" motions. The com­ mittee has several possible courses of action on a proposed motion, including but not restricted to (a) doing nothing; (b) conferring with supporters and opponents to arrive at a mutually accepted amended version to be circulated in advance of the meeting; (c) recommending and planning a format for debate to suggest to a Business Meeting; (d) recommending referral to a committee; (e) recommending debate followed by referral to a committee. There is no mechanism that requires automatic submission of a motion to the committee. However, if a motion has not been submitted through the committee, it may be thought reasonable by a Busi­ ness Meeting to refer it rather than to act on it without benefit of the advice of the committee. The committee consists of Everett Pitcher (chairman), Marian B. Pour-EI, David A. Sanchez, Barnet M. Weinstock, and Guido L. Weiss. In order that a motion for the Business Meeting of january 8, 1981, receive the service to be offered by the committee in the most effective manner, it should have been in the hands of the secretary by December 5, 1980. Everett Pitcher, Secretary explanation, it is noted that each person who is to January 9. The panel discussion will be immediately vote at a meeting is thereby identifying himself as followed by the MAG Business Meeting. and claiming to be a member of the American Math­ ematical Society. For additional information on the OTHER EVENTS OF INTEREST Business Meeting, refer to the box titled Committee on the Agenda for Business Meetings. Employment Register. The Employment Regis­ ter provides opportunities for mathematical scientists ACTIVITIES OF OTHER ORGANIZATIONS seeking professional employment to meet employers who have positions to be filled. Resumes prepared The Mathematical Association of America (MAA) by both employers and applicants are posted on bul­ will hold its annual meeting on january 9-11, Fri­ letin boards where they may be examined. -Employ­ day-Sunday. Sessions on Friday and Saturday, jan­ ers and applicants submit lists indicating their pre­ uary 9-10, will be held jointly with the National ferences for those they wish to interview. A com­ Council of Teachers of Mathematics. The business puter program assigns the appointments, matching meeting of the MAA will take place at 10:00 a.m. on Sunday, january 11. the requests to the extent possible. Interviews are scheduled at fifteen-minute intervals. The MAA is also planning a Minicourse; details will be available at a later date. The annual Employment Register at the San Francisco meeting will be held in the Imperial Ball­ For a more detailed listing of the activities of the MAA, see the Timetable. room of the San Francisco Hilton Hotel on Thurs­ day, Friday, and Saturday, january 8, 9, and 10. A The Association for Symbolic Logic (ASL) will short (optional) orientation session will be conducted · hold its 1981 annual meeting on Friday and Saturday, by the AMS-MAA-SIAM Committee on Employment january 9-10. Opportunities at 9:00a.m. on Thursday, january 8. The Association for Women in Mathematics (AWM) The purpose of this session is to familiarize partici­ will sponsor a panel discussion at 11 :00 a.m. on pants with the operation of the Register and with Friday, january 9. The panel will be immediately registration procedures. Registration for the Employ­ followed by the AWM Business Meeting. The second ment Register will begin at 9:30 a.m. on Thursday, annual AWM Emmy Noether Lecture will be given and interviews will begin at 9:30a.m. on Friday. No by Olga Taussky-Todd at 9:00a.m. on Friday. interviews will be scheduled for Thursday. Interview request forms must be turned in to the code clerk The ·Conference Board of the Mathematical before 4:00 p.m. on Thursday and Friday for inter­ Sciences (CBMS) will sponsor a day-long symposium views to be scheduled on Friday and Saturday, re­ on "Energy research and the mathematical sciences" spectively. at 9:00a.m. on Friday, january 9. The CBMS Coun­ Provisions have been made for scheduling inter­ cil will meet on Saturday, january 10, from 9:00 views in half-day modules. This allows for four half­ a.m. to 4:00 p.m. days of interviews: Friday a.m. and p.m., and Satur­ The Mathematicians Action Group (MAG) will day a.m. and p.m. (There will be no interviews sponsor a panel discussion at 7:00p.m. on Friday, scheduled for Thursday.)

514 On Saturday afternoon, an "employers' choice" the same days and hours as the Joint Mathematics session has been scheduled. For this session inter­ Meetings registration desk. views will be scheduled with applicants requested by National Science Foundation (NSF). NSF staff employers. Applicants do not submit interview re­ members will be available in the exhibit area to pro­ quest forms for this session. Requests for interviews vide counsel and information on NSF programs of in­ must be submitted by the employers on Friday prior terest to mathematicians from 9:00a.m. to 5:00p.m., to the deadline of 4:00 p.m. in order to receive a Thursday through Saturday, january 8-10. schedule for Saturday afternoon. William G. Roser, head of the Mathematical Sci­ Interview schedules will be distributed to both ences Section of NSF, will give a talk on How the applicants and employers on Friday and Saturday Mathematical Sciences Section at the National Sci­ between 8:45 a.m. and 9:00 a.m. ence Foundation Works at 9:30a.m. on Saturday, Applicants should be aware of the fact that inter­ january 10. views arranged by the Employment Register are only an initial contact with employers, and hiring decisions Second-hand Book and journal Exchange. It has are not always made immediately after the interviews. been proposed that the AMS determine whether there All participants in the Employment Register are is an interest in a Second-Hand Book Exchange at the required to register for the joint Mathematics Meet­ annual and summer meetings. The exchange was ings. For applicants there is no additional fee for tested on a small scale at the Ann Arbor meeting this participation in the Employment Register. There are past August, and met with moderate success. no provisions made for posting the resumes of appli­ At the Joint Books and journals display in the cants who do not attend the Employment Register. Hilton Plaza of the Hilton, notebooks will be avail­ For employers, additional fees for participating in_ able with lists of books on mathematics for sale or the Employment Register are $10 if paid at the time being sought. There will be separate notebooks of of preregistration, or $15 if paid at the meeting. books for sale and books wanted with names and Employers who do not plan to attend the Employ­ addresses of the owners (or seekers). The details of ment Register but wish to display literature may do the transactions themselves would have to be ar­ so at no charge. This material must, however, be re­ ranged by the participants and the AMS will not ac­ ceived in the Providence Office (MSER, P. 0. Box cept responsibility for settling disputes if arrange­ 6248, Providence, Rl 02940) no later than Nov-·· ments go awry. ember 7. Professor Keith Dennis has volunteered to keep and applicants Lists of preregistered employers the lists for a period of about two months after the in San Francisco free of charge to will be distributed meeting, and to send copies to anyone interested for those who preregistered. Other participants may the cost of copying and mailing. His address is obtain copies of the printed lists at the meeting for Department of Mathematics, White Hall, Cornell Uni­ $1 each. versity, Ithaca, New York 14853. The ·Employment Register is sponsored by the It is necessary to charge a small fee to cover the Society, the Mathematical American Mathematical cost of preparing the notebooks. Each person parti­ America, and the Society for Indus­ Association of cipating is asked to pay $2 for the first page and $1 Mathematics. trial and Applied for each additional page (one side is one page). Books and Association also sponsor the bi­ The Society for sale must be listed on separate pages from books monthly publication, Employment Information in wanted (as many of either per page as one wishes), for which subscription the Mathematical Sciences, and the lists made up on 8.5 inch by 11 inch pages. be found in the August 1980 is­ order forms may Please include the information below: sue of the Notices. Books Offered: Name, address, telephone, will or will not be at the meeting. Author, title, publisher, Exhibits. The book and educational media ex­ year of publication, condition of book (for example, hibits will be located in the Hilton Plaza of the San, slightly used, annotated lightly or heavily, like new). Francisco Hilton from Wednesday, january 7, through Price or books wanted in trade. Saturday, January 10. The exhibits will be open Books Wanted: Name, address, telephone, will or from 1 :00 p.m. to 5:00 p.m. on Wednesday; from will not be at the meeting. Author, title, publisher, 9:00 a.m. to 5:00 p.m. on Thursday and Friday; and edition, price one is willing to pay. from 9:00 a.m. to noon on Saturday. All partici­ Those who use this service at the meeting will be pants are encouraged to visit the exhibits during the asked to make suggestio~s concerning its usefulness meeting, or improvement. If the interest is sufficient, the ser­ vice will be continued at the next annual meeting, Book Sales. Books published by the AMS and and possibly at that time expanded to. include lists MAA will be sold for cash prices somewhat below from libraries seeking replacements for lost. out-of­ the usual prices when these same books are sold by print books and lists from second-hand-book dealers. mail. These discounts will be available only to re­ Please send your lists to: Promotion Department, gistered participants wearing the official meeting AMS, P. 0. Box 6248, Providence, R. I. 02940. Make badge. The book sales will be located in the Tower checks payable to the AMS. If you have questions, Lobby of the San Francisco Hilton, and will be open call Phoebe Murdock, 401-272-9500, extension 237.

515 American Mathematical Society Short Course Series Cryptology in Revolution: Mathematics and Models january 5-6, 1981

The American Mathematical Society, in conjunc­ How safe are cryptosystems? Richard j. Lipton, tion with its eighty-seventh annual meeting, will Department of Electrical Engineering and Com­ present a one and one-half day short course enti­ puter Science, Princeton University tled Cryptology in Revolution: Mathematics and The safety of a variety of encryption methods will be dis­ Models on Monday and Tuesday, january 5 and 6, cussed. We will show that certain "unbreakable" methods in the San Francisco Hilton. can be compromised. In particular, we will show how to 1981, break "mental poker": a method for playing cards by phone. Cryptology is rapidly changing. Ever since the invention of asymmetric cryptosystems, public cryp­ tology has changed in fundamental ways. There How secure are data bases? David P. Dobkin. now are "unbreakable" cryptosystems. Applications Protecting confidential data from statistical inference has long been of interest to applied mathematicians. The stan­ range from data bases to legal contracts; electronics dard problem in this area involves considering whether In­ fund transfers to the U. S. census. ferences concerning individuals may be made from statistics Cryptology depends for its success on several of a larger population. For example, given the two data areas of mathematics. It draws mostly on classic x 1 =average salary (SMITH, JONES, BROWN) number theory and computational complexity. How­ x2 =average salary (SMITH, JONES) ever, other branches such as aspects of ergodic it is possible to infer BROWN's salary. In practice, subtle methods may provide the ability to infer information In theory, information theory, and combinatorics also larger domains. And, in current applications areas involving play fundamental roles. on-line data bases, It is not always possible to apply the in- The aim of this short course is to present a sur­ . ference controls traditionally used to protect census data. vey of the nature and scope of the research in pub­ Inference mechanisms available in various domains will be lic cryptology. In addition to the basic technical surveyed along with techniques for enhancing the security of existing and proposed statistical data bases. Complexity ideas, there will also be a discussion of the role of results will be intertwined with existence proofs In the dis­ public research in this area. cussion. The techniques used are combinatorial in nature A basic knowledge of elementary number theory relying on ideas involving linear independence, partial orders including congruences, Euler's theorem, primitive and projective planes. Interested persons are referred to [1, 2, 3, 4, 5) for preparatory readings. REFERENCES. roots, factorization, greatest common divisors, etc., [1] R. A. DeMilio, D. P. Dobkin, and R. J. Lipton, Even will be presumed. For general information about data bases that lie can be compromised, IEEE Transactions the subject of the course, participants may consult on Software Engineering, SE-4, 1 (Jan. 1977), pp. 73-75. A new kind of cipher that would take millions of [2) R. A." DeMilio and D. P. Dobkin, Foundations of secure years to break, by Martin Gardner in the August computation, in [3]. [3] DeMilio et al., Foundations of Secure Computation, Academic Press, 1978: [4] D. E. Den­ 1977 issue of Scientific American, pages 120-124, ning, P. J. Denning, and M. D. Schwartz, The tracker: A and Cryptology in transition by Abraham Lempel threat to statistical data base security, ACM TODS 4, 1 (Department of Electrical Engineering, Technion­ (March 1979), 76-96. [5] D~ Dobkin,.A. K. Jones, and Israel Institute of Technology, Haifa, Israel) in ACM R. J. Lipton, Secure data bases: protection against user in­ Computing Surveys (special issue on cryptology), ference, ACM TODS 4, 1 (March 1979), 97-106. December 1979, pages 285-303. Cryptographic protocol. Richard A. DeMilio, De­ PROGRAM partment of Information and Computer Sciences, Georgia Institute of Technology A short history of public cryptology. George Davida, A cryptographic protocol Is a message-passing game played Department of Electrical Engineering, University against an adversary who knows the structure of the game of Wisconsin, Milwaukee, and Department of In­ but not the messages. By securing the messages with con­ formation and Computer Sciences, Georgia In­ ventional ciphers or asymmetric ciphers, protocols are de­ stitute of Technology. scribed for affixing legal signatures to messages, sharing se­ crets, playing mental poker, maintaining directories, and Public work in cryptosystems is very new and recent. This operating ultra-secure computers. talk will survey the historical setting of this work. It will also discuss the role of public work in this area and the re­ cent controversy over national security. Access control structures. Michael A. Harrison, De­ partment of Electrical Engineering and Compu­ Asymmetric cryptosystems. David P. Dobkin, De­ ter Science, University of California, Berkeley partment of Computer Science, University of As digital computers become more pervasive in modern life, Arizona an Increasing amount of vital information is stored in such This talk will be a basic survey of the various asymmetric en­ devices. The protection of this information against unau­ cryption methods. Included are the RSA method and the thorized access is a matter of great concern. How safe can trap door knapsack method. [For definitions, consult Lem­ these systems be? Can their safety be verified or their weak­ pel's article cited above.) These methods all rely on the nesses categorized? One approach to these problems is to computational complexity of certain problems. This con­ nection will be discussed in some detail. (Continued on page 524.)

516 TIMETABLE

The purpose of this timetable is to provide assistance to registrants in the selection of arrival and departure dates. The program, as outlined below, is based on information available at press time.

AMERICAN MATHEMATICAL SOCIETY SHORT COURSE SERIES

MONDAY, January 5 CRYPTOLOGY IN REVOLUTION: MATHEMATICS AND MODELS

9:00a.m. - 4:00p.m. REGISTRATION 2:00p.m. - 3:15p.m. A short history of public cryptology George Davida 3:30 p.m. - 4:45p.m. Asymmetric cryptosystems David P. Dobkin

TUESDAY, January 6

9:00a.m. - 10:15 a.m. How safe are cryptosystems ? Richard J. Lipton 10:30 a.m. - 11:45 a.m. How secure are data bases? David P. Dobkin 1:30 p.m. - 2:45p.m. Cryptographic protocol Richard A. DeMilio 3:00p.m. - 4:15p.m. Access control structures Michael A. Harrison 4:15p.m. - 5:00p.m. General discussion: What is the future of public work in cryptography?

JOINT MATHEMATICS MEETINGS

TUESDAY, January 6 American Mathematical Society Mathematical Association of America

4:00p.m. - 8:00p.m. REGISTRATION 4:00p.m. - 8:00 p.m. AMS l300K SALE MAA BOOK SALE 2:00p.m. - 10:00 p.m. Council Meeting

WEDNESDAY, January 7 AMS MAA

8:00a.m. - 5:00p.m. REGISTRATION 8:00a.m. - 5:00p.m. AMS BOOK SALE MAA BOOK SALE 10:30 a.m. - 11:30 a.m. INVITED ADDRESS Title to be announced Dennis Sullivan morning Special Sessions Sessions for Contributed Papers 1:00 p.m. - 2:00p.m. COLLOQUIDM LECTURE I Some mathematical problems suggested by questions in physics MarkKac afternoon Special Sessions Sessions for Contributed Papers 1:00 p.m. - 5:00p.m. EXHffiiTS 2:15p.m. - 3:15p.m. INVITED ADDRESS Stabilization in algebraic K-theory R. Keith Dennis 3:30p.m. - 4:30p.m. INVITED ADDRESS Some geometrical aspects of representations of Lie groups Michele Vergne 8:30p.m. - 9:30p.m. JOSIAH WILLARD GIBBS LECTURE The mathematical approach to the sonic barrier Cathleen S. Morawetz

517 INFORMATION FOR PARTICIPANTS will not be in operation. Other services provided at REGISTRATION the registration desk during the meeting will also no Registration at Meeting. Meeting preregistration longer be available (see section below on Registration and registration fees only partially cover expenses of Desk Services). There will, however, be a small desk holding meetings. All who do not preregister, but set up outside the Continental Ballroom where local attend the meetings in San Francisco, are expected to information will be available and where a staff mem­ register during the hours listed below. The fees for ber will provide limited assistance to participants. No registration at the meetings are: registration or cash transactions will be possible at this desk. JOINT MATHEMATICS MEETINGS Member of AMS, ASL, MAA, NCTM $42 REGISTRATION DESK SERVICES Nonmember 65 AMS/MAA Information. Information on the Student/Unemployed 11 publications and activities of both organizations may be obtained at this section of the registration desk. AMS SHORT COURSE Audio-Visual Assistance. A member of the AMS Student/Unemployed $10 staff will be happy to assist speakers unfamiliar with All Other Participants 30 the overhead projector, or consult with speakers with MAA MINICOURSE special requirements. All Participants $15 Baggage and Coat Check. Participants may leave There will be no extra charge for members of the baggage, parcels, coats, etc., for safekeeping at the families of registered participants, except that all pro­ registration desk during the hours it is open, pro­ fessional mathematicians who wish to attend sessions vided these items are picked up before the desk must register independently, and be prepared to show closes for the day. Articles left after closing time their meeting badge, if so requested. cannot be reclaimed until the following morning. Students are considered to be only those currently Check Cashing. The meeting cashier will cash working toward a degree, who do not receive annual­ personal or travelers' checks up to $50, upon presen­ compensation totaling more than $7,000 employment, tation of a meeting registration badge, and provided fellowships, and scholarships. there is enough cash on hand. The unemployed status refers to any person cur­ Comments and Complaints. A log for registering rently unemployed, actively seeking employment, and participants' comments or complaints about the who is not a student. It is not intended to include meeting is kept at the Transparencies section of the persons who have voluntarily resigned or retired from registration desk. All participants are encouraged to their latest position. use this method of helping to improve future meet­ Registration Dates and Locations. Registration ings. Comments on all phases of the meeting are for the AMS Short Course will begin at 9:00a.m. welcome. If a written reply is desired, participants on Monday, january 5. Registration for the joint should furnish their name and address. Mathematics Meetings and the MAA Minicourse will Emergencies. Participants with problems of an begin at 4:00p.m. on Tuesday, january 6. The immediate nature requiring action at the meeting registration desks will be open during the following should see the meeting manager, who will be happy hours: to assist them or put them in touch with someone who can. JOINT MATHEMATICS MEETINGS MAA MINICOURSE Lost and Found. See the meeting cashier. Tower Lobby, San Francisco Hilton Mail. All mail and telegrams for persons attend­ ing the meetings should be addressed to the partici­ Tuesday, january 6 4:00 p.m. - 8:00 p.m. pant, c/o joint Mathematics Meetings, Suite 260, Wednesday, january 7 8:00a.m.- 5:00p.m. San Francisco Convention & Visitors Bureau, 1390 Thursday, january 8 f Market Street, San Francisco, California 94102. Mail Friday, january 9 8:00 a.m. - 4:00 p.m. and telegrams so addressed may be picked up at the Saturday, january 10 mailbox in the registration area during the hours the ASSISTANCE AND INFORMATION DESK registration desk is open. U. S. mail not picked up will be forwarded after the meeting to the mailing Outside Continental Ballroom, San Francisco Hilton address given on the participant's registration record. Sunday, january 11 8:30 a.m. - 12:30 p.m. Local Information. This section of the desk will AMS SHORT COURSE be staffed by members of the Local Arrangements Committee and other volunteers Outside Continental Parlor 6, San Francisco Hilton from the San Francisco mathematical community. Monday, january 5 9:00 a.m. - 4:00 p.m. Personal Messages. Participants wishing to ex­ Please note that the joint Mathematics Meetings change messages during the meetings should use the registration desk WILL NOT BE OPEN on Sunday, mailbox mentioned above. Message pad~ and pencils january 11, and the the telephone message center are provided.

518 TIMETABLE

THURSDAY, January 8 American Mathematical Society Mathematical Association of America

8:00 a.m. - 4:00 p.m. REGJSTRA TION 8:00 a.m. - 4:00 p.m. AMS BOOK SALE IMAA BOOK SALE morning Special Sessions Sessions for Contributed Papers 9:00 a.m. - 9:30 a.m. EMPLOYMENT REGISTER ORIENTATION SESSION 9:00 a.m. - 4:00 p.m. IMAA - Board of Governors Meeting 9:00 a.m. - 5:00 p.m. EXHffiiTS 9:30 a.m. - 10:30 a.m. INVITED ADDRESS Some problems in the cohomology of algebraic groups James E. Humphreys 9:30 a.m. - 4:00 p.m. EMPLOYMENT REGISTER REGISTRATION 10:45 a.m. - 11:45 a.m. RETIRING PRESIDENTIAL ADDRESS The influence of computing on mathematics Peter D. Lax afternoon Special Sessions Sessions for Contributed Papers 1:00 p. m. - 2:00 p.m. COLLOQUIUM LECTURE II Some mathematical problems suggested by questions in physics MarkKac 2:15 p.m. - 3:15 p.m. INVITED ADDRESS An explicit solution of classical and quantum field theory models and parallel arithmetical problems: A unified approach Gregory V. Chudnovsky 4:00 p.m. - 5:00 p.m. PRIZE SESSION 5:00p.m. - 6:00 p.m. BUSINESS MEETING 7:00 p.m. - 10:00 p.m. MAA - Film Program 7:30 p.m. - 9:30 p. m. Committee on Employment and Educational Polley- Meeting of Department Heads: Maintaining vitality in graduate programs in the 1980's

FRIDAY, January 9 AMS Other Organizations

8:00 a.m. - 4:00 p. m. REGJSTRA TION 8:00 a.m. - 4:00 p.m. AMS BOOK SALE MAA BOOK SALE 9:00 a.m. - 10:35 a.m. IAssociation for Symbolic Logic Contributed Paper Session 9:00 a.m. - 5:00 p. m. EXHffiiTS 9:00 a.m. - 5:00 p.m. Conference Board of the Mat 1ematlcal Sciences - Symposium on Energy Research and the Mathematical Sciences 9:00 a.m. - 11:50 a. m. MAA and National Council of Teachers of Mathen~&tlcs - JOINT SESSIONS 9:00a.m. INVITED ADllRESS The differing ideals of Dedekind and Kronecker Harold Edwards 10:00 a.m. INVITED ADDRESS Agenda for action: Progress and problems Max A. Sobel, President NCTM 11:00 a.m. INVITED ADDRESS Contact measures in Integral geometry William J. Flrey 9:00 a.m. - 10:00 a.m. Association for Women in Mathematics Emmy Noether Lecture Olga Taussky-Todd 9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS 10:45 a.m. - 11:45 a.m. ASL - Invited Lecture I R. Shore

S19 Telephone Messages. A telephone message center Commodore Hotel (2) will be located in the same area to receive incoming 825 Sutter Street at Jones 941 09 calls for participants. The center will be open from Telephone: 415-885-2464 january 6 through january 10, during the same hours Singles $36, $40 Twins $44, $48 as the joint Mathematics Meetings registration desk. Doubles $40, $44 Triples $48, $52, $56 Messages will be taken and the name of any indivi­ Quads $48, $52, $60 dual for whom a message has been received will be El Cortez Hotel (3) posted until the message has been picked up at the 550 Geary Street 94102 message center. The telephone number of the mes­ Telephone: 415-775-5000 sage center will appear in the january issue of the Notices. Singles $34 Triples $48,$50 Transparencies. Speakers wishing to prepare Doubles $40 Quads $55 transparencies in advance of their talk will find the Twins $42 necessary materials and copying machines at this Handlery Motor Inn (4) section of the registration desk. A member of the 260 O'Farrell Street 94102 staff will be happy to assist and advise speakers on Telephone: 415-986-2526 the best procedures and methods for preparation of Singles $50, $52, $54, $56, $58, $60, $62, $64, $65 their material. Doubles $60, $62, $64, $66, $68, $70, $72, $74, $75 Visual Index. An alphabetical list of registered Twins $60, $62, $64, $66, $68, $70, $72, $74, $75 participants, including local address, arrival and de­ Twin Doubles $60, $62, $64, $66, $68, $70, $72, $74, $75 parture dates, is maintained in the registration area. Triples $70, $72, $74, $76, $78, $80, $82, $84, $85 Quads $80, $82, $84, $86, $88, $90, $92, $94, $95 HOTEL ACCOMODATIONS Suites $100 - $200 The rates listed below are subject to a 9.75 per­ Holiday Inn - Union Square (6) cent city hotel tax. All hotels listed are in San 480 Sutter Street at Powell 941 08 Francisco, the number after the name of the hotel is Telephone: 415-398-8900 the number it carries on the map. Participants should be aware that triple and quad Singles $55 Triples $75 rooms in the Hilton contain two double beds only. Doubles $70 Quads $80 In all cases "single" refers to one person in one bed; Twin Doubles $70 Suites $85-$450 "double" refers to two persons in one bed; "twin" Hotel Verba Buena (11) refers to two persons in two single beds; and "twin 55 Fifth Street 94103 double" refers to two persons in two double beds. Telephone: 415-543-3130 A rollaway cot for an extra person can be added to NB: Special rate and accommodation for students only double or twin rooms only. Single ~16; Twin $22 (Bathroom down the hall) The San Francisco Hilton and Tower (S) Manx Hotel (7) Headquarters Hotel 225 Powell Street at Union Square 94102 333 O'Farrell Street 94102 Telephone: 415-421-7070 Telephone: 415-771-1400 Singles $38,$39,$40,$41, $42,$43, $44 Singles- main building $48, $58, $68 Doubles $42, $43, $44, $45, $46 Singles- tower $68, $78, $88, $98 Twins $44,$45, $46,$47, $48 Doubles- main building $63, $73, $83 Triples $47,$48,$49,$50, $51,$52, $53 Doubles- tower $83, $93, $103, $113 Quads $54, $55, $56, $57, $58 Twins- main building $63, $73, $83 Twins- tower $83, $93, $103, $113 Sir Francis Drake Hotel (8) Double doubles - main building $63, $73, $83 450 Powell Street at Sutter 941 01 Double doubles- tower $83,$93,$103,$115 Telephone: 415-392-7755 Triples- main building $78, $88, $98 Singles $49, $69, $79 Triples- tower $98, $108, $118, $128 Doubles $59, $79, $89 Quads- main building $93, $103, $113 Twins $59, $79, $89 Quads- tower $113, $123, $133, $143 Triples $71,$91,$101 Suites- main building $176- $296 Suites $175- $215 Suites- tower $190- $323 Stewart Hotel (9) Bellevue Hotel (1) 351 Geary Street 941 02 505 Geary Street and Taylor 94102 Telephone: 415-781-7800 Telephone: 415-474-3600 Singles $37,$39,$41,$43, $45,$47,$49,$51,$53 Singles $50, $55, $60, $65 Doubles $43, $45, $47, $49, $51, $53, $55, $57, $59,$61 Doubles $60, $65, $70, $75 Twins $45,$47, $49,$51, $53, $55, $57, $59, $61,$63 Twins $60, $65' $70, $7 5 Triples $59, $61, $63, $65, $67, $69, $71 Triples $70, $75, $80, $85 Quads $67, $69, $71, $73, $75, $77, $79 Suites $90- $150 Suites $60 - $100

520 TIMETABLE

FRIDAY, January 9 American Mathematical Society Other Organizations

11:00 a.m. - 12:30 p.m. A WM - Panel Discussion and Business Meeting 1:00 p.m. - 2:00 p.m. COLLOQUIDM LECTURE III Some mathematical problems suggested by questions in physics Mark Kac afternoon Special Sessions Sessions for Contributed Papers 2:15 p.m. - 3:15 p.m. INVITED ADDRESS ASL - Invited Lecture Quaternion functions and the A. Louveau solution of gauge field equations Feza Gilrsey 3:30 p.m. - 4:30 p.m. INVITED ADDRESS How do eigenfunctions decay-some recent results Shmuel Agmon 3:30 p.m. - 5:30 p.m. ASL - Contributed Paper Session. 7:00 p.m. - 9:30 p.m. Mathematicians Action Group Panel Discussion and Business Meeting 8:00p.m. ASL - Council Meeting 9:00p.m. SOCIAL EVENT

SATURDAY, January 10 AMS other Organizations

8:00 a. m. - 4:00 p. m. REGISTRATION 8:00 a.m. - 4:00 p.m. AMS BOOK SALE IMAA BOOK SALE 9:00 a.m. - noon EXHIBITS 9:00 a.m. - 4:00 p.m. CBMS- Council Meeting 9:15 a.m. - 10:45 a.m. MAA and NCTM - JOINT SESSION PANEL DISCUSSION: Gifted students Local programs for gifted high school students Jean J. Pederson (moderator) Student science training projects Edmund J. Deaton Problem competitions Lyle Fisher Project MEGSSS (Mathematics education for gifted secondary school students) Joel Schneider General Discussion 9:30 a.m. - 10:30 a.m. How the Mathematical Sciences Section at the National Science Foundation Works William G. Rosen 9:30 a.m. - 5:30 p.m. EMPLOYMENT REGISTER INTERVIEWS 9:35 a.m. - 10:35 a.m. ASL - Invited Lecture H. Woodin 10:45 a.m. - 11:45 a.m. ASL - Invited Lecture A. Mcintyre 11:00 a.m. - 11:50 a.m. MAA and NCTM - JOINT SESSION INVITED ADDRESS The new Soviet challenge in mathematics and science education and manpower training Izaak Wirszup 1:00 p.m. - 2:00 p.m. COLLOQUIDM LECTURE IV Some mathematical problems suggested by questions in physics Mark Kac afternoon Special Sessions Sessions for contributed papers

521 I I I sACRAMENTO ;:OB HliL !~ c ALIFORNIA"l < t"' 0 ~ ::: ~ ~ :~ C'l r.i ::: ~ ::-----~ ~---~ iz z ~~ rl rn 0 z t"' ;o::IZ ~ 8 0 ~~ c-i t--- t---:=t--- ~t"'HI~- 1--1 sUTTER ~ E) e ~ G>~~ p OST E) 14\. G EARY 0 ~0. A 9tJ:% ~'\ ~ 0 'FARRELL 0 1.6~~\1> "'~ ~'(> E LLIS v~Oc, ~- E DDY ~ .,._, TU RK I~~· 1- ~~~ ~ GO LDENGATE V%, ~-.o~ M c ALLISTER ~ ~-.c:. ~a~ F ULTON ~ NORTH / ~ G ROVE ~ /~ ~ H AYES / ~ '1-~ F ELL / '1-_, / SAN FRANCISCO 1> 1. Bellevue 4. Handlery Motor Inn 7. Manx 10. Sutter 2. Commodore 5. Hilton (Headquarters) 8. Sir Francis Drake 11. Yerba 3. El Cortez 6. Holiday Inn/Union Sq. 9. Stewart Buena

Sutter Hotel (1 0} {Adults $1.50, youths age 17 or under $1, seniors 191 Sutter Street 94104 age 65 and over 50 cents, children age 5 or under Telephone: 415·781·3060 free.) To Academy of Sciences and Morrison Planetarium Single $42 Twin $48 in Golden Gate Park: Use same directions as above. Double $48 Triple $56 To California Palace of Legion of Honor (French paintings, Rodin sculptures): Take #38 bus on Geary MISCELLANEOUS INFORMATION heading west. Get off at 33rd Avenue. Walk one Child Care. Members who require childcare service block north to Clement; long path up to Legion of Honor. Admission same can call the Childcare Switchboard at 415-282-7858. as deYoung Museum. To Bay Area Rapid Transit These sitters will sit in hotel rooms with children. (BART) to Berkeley, Those requiring a day care type of facility for drop-ins Oakland, etc.: One block east to Powell; continue south can call the Toy Center at 415-285-7223 and ask for to Market Street, down Hallidie Plaza to BART. "Ish." To Fisherman's Wharf and Cannery: One block east to Powell, south to Market for cable car (queue Entertainment. The Local Arrangements Commit­ in front of Woolworth's). tee is planning a cocktail party and dance for Friday To Ghirardelli Square: One block north to Geary. evening, January 9. Further details will be available Take #38 bus heading west. Transfer at Geary and at a later date. Polk on #19 heading north. Get off at Polk and Local Information. Many of San Francisco's at­ North Point Street in front of Ghirardelli Square. tractions are easy to reach from the Hiiton; directions To Pier 39: Follow directions for Ghirardelli are given below. From these focal points, one might Square, but continue to end of line. be able to strike out to other points along the route To Chinatown: One block east to Powell; south by referring to local maps. to Market Street for cable car; transfer on Clay To Golden Gate Park, deYoung Museum, or Street downhill. Asian Art Museum: Go one block north to Geary. Parking. Free indoor parking is provided by the Take #38 bus on Geary heading west. (Ask for Hilton for guests occupying rooms on the fifth transfer on boarding.} Transfer to #10 bus on Tenth through eleventh floors. Participants should check Avenue heading south (board bus on northwest cor­ the appropriate box on the housing form if free ner); bus stops in front of deYoung Museum. parking is desired. Participants not staying in the

522 TIMETABLE

SATURDAY, January 10 American Mathematical Bociety Other Organizations

2:15p.m. - 3:15p.m. INVITED ADDRESS Report on von Neumann algebras Masamichi Takesaki 2:15p.m. - 3:15 p.m. ASL- Invited Lecture K. Kunen 3:30p.m. - 5:30p.m. ASL - Contributed Paper Session 7:00 p.m. - 10:00 p.m. MAA- Film Program

SUNDAY, January 11 MAA

8:30a.m. - 12:30 p.m. ASSISTANCE AND INFORMATION DESK 9:00a.m. - 9:50a.m. MAA - INVITED ADDRESS Curvature Robert Osserman 10:00 a.m. - 10:50 a.m. MAA - BUSINESS MEETING 11:00 a.m. - 11:50 a.m. MAA - INVITED ADDRESS Patterns of problem solving Moshe F. Rubinstein afternoon MAA - SESSION What is complexity?

Hilton will find several public parking garages in the fare into the city is considerably higher- approxi­ area. The closest is the one beneath the Hilton, mately $20. All major car rental agencies have where the present rate is $6.25 per day. desks at the airport. The main railroad depot in Oakland is served by Travel. In January, San Francisco is on Pacific Amtrak. Shuttle busies transport passengers between Standard Time. There is regular airline service to the depot in Oakland and the Trans-Bay Terminal at San Francisco International Airport by several major First and Mission Streets in San Francisco. air Iine carriers. San Francisco can be reached by auto on 1-80 Participants should be aware that there are from the east; on 1-5, US-101, and US-99 from many special air fares available to San Francisco the north and south. which are less expensive than the ordinary econ­ omy class fares. Most require that one make res· Weather. During the month of january, San ervations and pay for the ticket at least 30 days Francisco's average maximum temperature is 55F. in advance, but these fares apply to a limited and the minimum is 45F. There is a liklihood of number of seats on each aircraft only. These encountering some rain, so that rain coats, umbrellas, special fare seats go on a first-come, first-served and rubbers or overshoes may prove useful. For basis, and so participants should make their clothing, medium weight wool suits or dresses are reservations and purchase their tickets as early recommended. as possible. Kenneth A. Ross San Francisco International Airport is approxi­ Associate Secretary mately 15 miles from the citv center, and the trip Mathematics Department takes between 30 and 45 minutes. The airport bus Room 121 - 1984 Mathematics Road presently costs $2.55, and stops at the downtown University of British Columbia terminal just across the street from the Hilton. Taxi Vancouver, B. C., CANADA V6T 1Y4

523 (Continued from page 516.) The short course is open to all who wish to par­ ticipate upon payment of the registration fee. There make very simple models of access to protected objects in are reduced fees for students and unemployed indi­ different models of digital systems. We shall explore several entitled MEET­ Information access. Some of the models are simple graph· viduals. Please refer to the section theoretic models while there are also combinatorial models. ING PREREGISTRATION AND REGISTRATION Most of our attention will be devoted to a model which dis­ for details. plays a dynamically changing matrix which indicates which The program is under the direction of Richard subjects have which rights to certain objects. It can be ar· j. Lipton of the Department of Computer Science gued that this model is sufficiently general to cover many practical situations. It is possible to define safety in a pre· at Princeton University. The short course was re­ cise and meaningful fashion. Using a combination of logic commended by the Society's Committee on Employ­ and computational complexity, a variety of discouraging ment and Educational Policy, whose members are theorems arise. There is no algorithm to decide if a given Lida K. Barrett (chairman), Arthur P. Mattuck, system is safe. Even In certain highly constrained cases Hans Schnei­ where the systems are decidable, there is very little chance Donald C. Rung, Robert J. Thompson, of finding an algorithm for the problem which runs in poly· der, and William P. Ziemer. The short course series nomial time. Implications to verification of such systems is under the direction of the CEEP Short Course will be discussed as well. Subcommittee, whose members are Ronald L Gra­ ham (chairman), Robert M. McKelvey, Cathleen S. General discussion: What is the future of public Morawetz, Barbara L. Osofsky, and Phillip D. Straf­ work in cryptography? fin, j r.

Halmos Symposium and Banquet Friends of Paul R. Halmos have arranged a symposium and banquet in his honor, to be held january 6, 1981 in Berkeley and San Francisco. Detailed information may be found on page 546 of this issue of the Notices.

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS

ANALYTIC NUMBER THEORY, MATHEMATICAL problem of avoiding encounter in N-person differ­ ANALYSIS AND THEIR APPLICATIONS ential games This is a collection of papers dedicated to I. M. K. I. Oskolkov, Sequences of norms of Fourier sums Vinogradov. of bounded functions G. I. Arhipov, A. A. Karacuba, and V. N. Cubarikov, L. P. Postnikova and A. A. judin, An analytic method An upper bound for the modulus of a multiple for estimates of the concentration function trigonometric sum V. G. Sprindzuk, The arithmetic structure of integral L. A. Balasov and S. A. Teljakovskii, Some properties polynomials and class numbers of lacunary series and the integrability of trigono­ S. A. Stepanov, On lower estimates of incomplete metric series character sums of polynomials 0. V. Besov, Intercellular averages and an error esti­ B. S. Steckin, Binary functions on ordered sets mate for cubature formulas in Sobolev spaces and (Inversion theorems} their generalizations S. B. Steckin, Estimate of a complete rational trig­ V. I. Blagodatskih, The controllability problem for onometric sum linear systems Number 143, vii + 220 pages (soft cover) B. S. Kasin, On some properties of orthogonal sys- List price $56.00, institutional member $42.00, tems of convergence Individual member $28.00 P. I. Lizorkin, On bases and multipliers in the spaces ISBN o-8218-3044-9; LC 80-14363 Bf,,e (7r) Publication date: june 1980 E. F. Miscenko, M. S. Nikol'skii, and N. s·atimov, The To order, please specify STEKL0/143K Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901.

524 1981 SYMPOSIUM Some Mathematical Questions in Biology Toronto, Ontario, Canada, january 8, 7987

The fifteenth annual symposium on Some STEPHEN CHILDRESS, Courant Institute of Mathe­ Mathematical Questions in Biology will be held on matical Sciences, Modeling of Cell and Tissue Move­ January 8, 1981, in the Quebec Room of the Royal ments in the Developing Embryo; MIMI KOEHL, York Hotel, Toronto, Ontario, Canada, in conjunction University of California, Berkeley, Feeding Currents with the annual meeting of the American Association and Particle Capture by Copepods; MICHAEL for the Advancement of Science. It will be cospon­ LACKER, Courant Institute of Mathematical Sciences; sored by the American Mathematical Society, the HANS MEINHARDT, Max-Pianck-lnstitUt fiir Virus­ Society for Industrial and Applied Mathematics, and forschung, The Generation of Spatial Sequences of Section A of the American Association for the Ad­ Structures During Development of Higher Organisms; vancement of Science. Details regarding registration SIMON MOCHON, Massachusetts Institute of Tech­ and local arrangements will be announced in the nology, Human Locomotion Utilizing a Computer September 12th issue of Science. Analysis of Various Model Linkages; SHELDON The program is being arranged by an organizing WEINBAUM, The City College of the City University committee, whose members are Stephen Childress of New York, Particle Motion Through Pores and (chairman), Jack D. Cowan, F. C. Hoppensteadt, Near Boundaries in Biological Flows. Joseph B. Keller, Donald Ludwig, Robert M. May, A complete program of the sessions will be in­ George F. Oster, Charles S. Peskin, and Sol I. cluded in the November 1980 issue of the Notices. Rubinow. The focus of.the symposium will be on several Stephen Childress, Chairman, Organizing Committee areas of biomechanics as well as mathematical models Fifteenth Annual AMS-SIAM Symposium on in developmental biology. arising Some Mathematical Questions in Biology A tentative list of speakers and topics follows:

ELECTION INFORMATION

REPLACEMENT BALLOTS Ballots for the annual AMS election will be ment ballot should be sent. Immediately upon re­ mailed on August 25, 1980 or within a day or two ceipt of the request in the Providence office, a second thereafter. The deadline for receipt of ballots in ballot, which will be indistinguishable from the orig­ Providence is November 1 0, 1980. inal, will be sent by first class mail. It must be re­ There has been a small but recurring and distres­ turned in an inner envelope, which will be supplied, sing problem concerning members who state that they on the outside of which is the following statement have not received ballots in the annual election. It to be signed by the member: occurs for several reasons, including failure of local delivery systems on university or corporate proper­ The ballot in this envelope is the only ballot ties, failure of members to give timely notice of that I am submitting in this election. I under­ changes of address to the Providence office, failures stand that if this statement is not correct then of postal services, and other human errors. no ballot of mine will be counted. To help alleviate this problem, the following re­ placement procedure has been devised: A member who has not received a ballot by October 10, 1980, signature or who has received a ballot but has accidentally spoiled it, may write after that date to the Secretary, Although a second ballot will be supplied on re­ Box 6248, Providence, Rl 02940, asking for a second quest and will be sent by first class mail, the dead­ ballot. The request should include the individual's line for receipt of ballots will not be extended to member code and the address to which the replace- accommodate these special cases.

525 QUERIES Edited by Hans Samelson QUESTIONS WELCOMED from AMS members regarding mathematical matters such as details of, or references to, vaguely remembered theorems, sources of exposition of folk theorems, or the state of current knowledge concerning published or unpublished conjectures. REPLIES from readers will be edited, when appropriate, into a composite answer and published in a subsequent column. All answers re­ ceived will ultimately be forwarded to the questioner. QUERIES AND RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American Mathematical So­ ciety, P. 0. Box 6248, Providence, Rhode Island 02940.

QUERIES PROBLEM LIST

225. Ross Cressman (Sir Wilfred Grenfell College, The following is a list of nine open mathematical Memorial University of Newfoundland, Corner Brook, questions on inverse scattering theory which were Newfoundland, Canada A2H 6P9). Suppose we have discussed at the AMS Meeting in Bloomington, April a random walk on the integers whose transition prob­ 11-12, 1980, in Session Ill of the special session on abilities satisfy p1_ 1,1 :> Pi,i+ 1 as well as the usual Integral Equations and their Applications. Questions P1,1-1 + Pi,l+1 = 1. Is it then true that after t steps were submitted by B. DeFacio, Applied Mathematical we have P1,1(t) :>minimum {p1,1_ 2(t), Pi,J+ 2 (t)}? Sciences, Ames Laboratory US DOE and Department What other properties of this probability distribution of Mathematics, Iowa State University, Ames, lA are known? 50011 (permanent address Department of Mathe· 226. Albert A. Mullin (506 Seaborn Drive, Hunts­ matics, University of Missouri-Columbia, Columbia, ville, AL 35806). Charles Babbage, the grandfather MO 65221) and H. E. Moses, Center for Atmospheric of modern computers, regarded good notation crucial Studies, University of Lowell, 450 Aiken Street, to the development of viable mathematics. Among Lowell, Massachusetts 01854. his eleven rules on notation (probably finalized late 1. To assist with inverse scattering studies, obtain in the year 1821) there is: "It is better to make any any exact closed form three-dimensional solution to expression an apparent function of n, than to let It the direct problem for Schrodinger's equation with· consist of operations n times repeated. " As an exam­ out spherical symmetry. ple, he considers the infinite series l:;;;= 1m-n, well 2. For R. G. Newton's new approach in inverse known in modern terminology as the zeta function scattering theories [1, 2] characterize the classes (restricted to positive integers). He used this exam­ of S-matrices for which it is applicable (in three di­ ple long after Euler considered such a function, but mensions). Provide an a priori classification of the before either Dirichlet or Riemann dealt with it. He sorts of potentials which a given class of S-matrix is writes that it can be expressed as the following going to give. An easier, warm-up problem would be arithmetical function of n: to take the S-matrix as analytic, which is well known l)n _x dxn. to correspond to a potential with compact support (J x 1-x and carry out all of the estimates to see what is in­ I would appreciate information on this novel ap­ volved in this, the easiest case. There is a very differ­ proach to the zeta function in view of Babbage's in­ ent alternate formulation by H. E. Moses [3] which terest in prime numbers. follows earlier work by Kay and Moses [4]. The angular solutions are Schwartz distributions rather RESPONSES than functions in this approach. In contrast, at least The replies below have been received to queries pub­ for potentials in C0(R3) and perhaps more generally, lished recently in the Notices. The editor would like the Newton approach has solutions as ordinary func­ to thank all who reply. tions in all variables. Does the Newton approach yield distributional solutions for more general S-ma­ 214. (vol. 2!, p. 278, April1980, james 0. C. trices? Is the condition which is called a "miracle" Ezeilo). Question: Does 'X'+ ax +X +a sin X= 0 by Newton [5], that f(k.2, 8) = f0(k2) only, a con­ have nontrivial periodic solutions for all a? The dition for a distributional solution to reduce to a answer is no. See R. Kemp in Canad. Math. Bull. 10 solution in ordinary functions? (1967), 75-77 or N. Levinson, Bull. Amer. Math. 3. Is the Newton three-dimensional inverse solution Soc. 76 (1970), 979. (Contributed by Frank Okoh numerically stable? If so, what are the error bounds? and Charles Williamson). Is there a natural variational method for this formu­ lation?

526 4. Study the relationship between the Marchenko where m and I are the x and y components of the equation for inverse scattering and the Gel'fand· propagation vector k, w is the frequency and c is Levitan equation for inverse spectral theory. Although the speed of sound. In Equation (9.3), w is the they are equivalent under suitable condition [6], amplitude of displacement and Z is acoustic impe­ this equivalence fails for potentials which are not suf· dance given by ficiently bounded at large r. We have an example of Z =ypa'. (9.5) both equivalent and inequivalent cases. Greene [12] has developed a pair of Marchenko 5. Study nonlocal potentials, e.g. equations for Equation (9.1) which is independent (V N L 1/1) (r) = Jdr' V(r, r') 1/i (r') (5.1) of the Liouville transformation and travel time using the Deift and Trubowitz [13] trace methods. and tell for which class of nonlocal potentials a The average of these two equations provides an in­ local potential, e.g., verse problem which is valid even when Equations ( VL 1/i)(r) = V(r) 1/1 (r), (5.2) (9.2) and (9.3) are invalid, but it would still be exists which has the same scattering operator and useful to have a single such equation. and Moses [7] bound states. Abrahams, DeFacio REFERENCES have given an example of a nonlocal potential and its equivalent local potential and exhibited the uni­ 1. R. G. Newton, Inverse scattering. I. One di­ tary map between them. Does Newton's "miracle" mension, j. Math. Phys. 21 (1980), 493-505. II. Three dimen­ in [ 5] give such a condition and, if so, is it neces· 2. ---, Inverse scattering. sary, sufficient (or both)? sions, j. Math. Phys. 21 (1980) (in press). 3. H. E. Moses, J. Math. Phys. 5 (1964), 833-, 6. Set up an inverse spectral theory, or an inverse 840. scattering theory for potentials which are more sing· 4. I. Kay and H. E. Moses, Nuovo Cimento 22 ular than r-2• Show how Klauder's phenomenon (1961), 683-752. [ 8] for singular potentials (nonrenormalizable fields) 5. R. G. Newton, Inverse scattering as a Hil­ occurs using the comparisons potential approach in bert Problem, Invited Talk at the International the Gel'fand-Levitan equation. Explicitly exhibit the Symposium on Ill-Posed Problems (University of discontinuous perturbations on the spectrum. Delaware, October 2-6, 1979), M. Z. Nashed (ed.) 7. Study generalized Levinson's theorems for local (to appear). and nonlocal potentials which have bound states in 6. K. Chadan and P. C. Sabatier, Inverse prob­ the continuum. Use the Bergman-Moses and Tuan lems in quantum scattering theory, Springer-Verlag, potentials [9, 10] as a tool. New York, 1977. P. Abrahams, B. DeFacio and H. E. Moses, 8. Is there any physical relationship between the 7. (in press). Gel'fand-Levitan equation and the Weiner filter equa­ Studies in applied mathematics Lett. 47 (1973), tion? F. Dyson [11] has observed that although the 8. j. R. Klauder, Phys. B. Simon, j. Functional Anal. 14 (1973), two equations look identical, no connection between 523-524; B. B. DeFacio and C. L. Hammer, j. Math. them is known. One thing is clear, namely that the 295-297; Phys. 15 (1974), 1071-1077. point eigenvalues of the Gel'fand-Levitan theory 9. V. Bargmann, Phys. Rev. 75 (1949), 301- correspond to a deterministic component of a Weiner 488-496. filter equation and must be removed before studying 303 and Rev. Modern Phys. 21 (1949), the filter problem. 10. H. E. Moses and S. F. Tuan, Nuovo Cimen­ to 13 (II) (1959), 197-206. 9. Derive a single linear Marchenko equation for the 11. F. Dyson, j. Opt. Soc. Amer. 65 (1975), acoustic wave equation in a region fl, 551-560. [(~- (1/c2 )(o2 /oc 2 ))p] (r, t) = [pp] (r, t) (9.1) 12. R. Greene, Constructive solution and char­ for where r is a d-dimensional space vector, t is the acterization of the inverse scattering problem the one-dimensional acoustic equation, New York time variable, ~ is the d-dimensional Laplacian, University Dissertation, Courant Institute, 1979. p (r) a C6 (R 1) inhomogeneous region with n 1 C Q Comm. Pure (properly). Do not use either the travel time r(r), 13. P. Deift and E. Trubowitz, ro ds Appl. Math. 33 (1979), 121-251. . r(r) = f 0 a'(r) , (9.2) or the Liouville transformation I{J(r, r) = Z(r)w(r, r). (9.3) In Equation (9.2), ds is the arc length along the path of the pressure wave, a' (r) is defined as a'(r) =c2 /[1-c2 (m 2 +P)/w2 ] (9.4)

527 1980 WIENER AND STEELE PRIZES AWARDED

On Thursday, August 21, 1980, the 1980 also made outstanding contributions to the study Norbert Wiener Prize and the 1980 Leroy P. Steele of both linear and nonlinear evolution equations Prizes were presented at the Summer Meeting in as well as to hydrodynamics. For all this work of Ann Arbor. great distinction he is eminently deserving of the The third and fourth awards of the Wiener Prize Wiener Prize. were made to Tosio Kato of the University of Tosio Kato California, Berkeley, and to Gerald B. Whitham of the California Institute of Technology. The It is a great honor to receive a Wiener prize. Wiener Prizes, which are awarded every five years It is indeed gratifying to obtain recognition at an jointly by the AMS and the Society for Industrial advanced age. and Applied Mathematics, are given for outstand­ I would like to describe some of my early works ing contributions to "applied mathematics in the and more recent ones, in different fields mentioned highest and broadest sense." in the citation. Steele Prizes are awarded annually by the AMS During World War II, I was working, in the in three categories: countryside of Japan, on the spectral theory of (1) for the cumulative irifluence of the total SchrOdinger operators and perturbation theory. mathematical work of the recipient, high level of As a physics student I had been led to study these research over a period of time, particular influence problems on my own, since no one seemed to pay on the development of a field, and influence on attention to them in spite of the existence of the mathematics through Ph.D. students, general principle given by von Neumann. My (2) for a book or substantial survey or first efforts were directed toward establishing the expository-research paper, essential selfadjointness of Schrodinger operators (3) for a paper, whether recent or not, which has and laying a mathematical foundation for pertur­ proved to be of fundamental or lasting importance bation theory. (At that time I did not know of in its field,, or a model of important research. Rellich's work.) The recipients of the 1980 Steele Prizes are, Schrooinger operators are formally selfadjoint respectively, differential operators. In general such an operator (1) Andre Well of the Institute for Advanced admits infinitely many realizations as selfadjoint Study (Emeritus), operators in the basic Hilbert space. Physics re­ (2) Harold M. Edwards of the Courant Institute quires that the realization should be unique within of the Mathematical Sciences, and a reasonable range. It had been tacitly assumed (~)Gerhard P. Hochschild of the University of that the Friedrichs extension, which exists for any California, Berkeley. semibounded symmetric operator, was the right The members of the AMS-SIAM Committee for realization but no proof existed that it was unique. the 1980 Wiener Prize were George F. Carrier, Actually the proof turned out to be rather easy, at Ralph S. Phillips (chairman), and Elliot W. least for theN-body problem with the potentials Montroll. I assumed. The members of the selection committee These works were more or less completed by the for the Steele Prize were Robin Hartshorne, end of the war, but I was not very lucky with their Reuben Hersh, Irving Kaplansky, H. Blaine publication. A couple of years later I submitted Lawson, Henry 0. Pollak, Gian-Carlo Rota, Hans two papers on the subject to Physical Review. Samelson, StephenS. Shatz (chairman), Joseph F. They were soon forwarded to the Transactions Taylor, and Raymond 0. Wells, Jr. of the American Mathematical Society, where the The amount of each award is fifteen hundred manuscripts were passed from one referee to dollars. another without success, eventually to be lost. I The text following includes the award citations had to resubmit new manuscripts. After three prepared by the selection committees, as well as years from initial submission, the papers were the responses and biographical sketches of the finally saved by the last referee. recipients. In the following three decades, these prelimi­ nary results on Schrodinger operators were to be followed by more detailed study of their spectral CITATION FOR WIENER PRIZE: properties, the main part of which belongs to scat­ Tosio Kato's work in the perturbation theory tering theory. A tremendous development has set of quantum mechanics is truly distinguished. His in, due to the participation of a host of brilliant dominance here is attested to by the fact that his mathematical physicists of the new generation. It name is associated with almost all of the advances has been my great pleasure to watch the N-body in this field over the past thirty years. Kato has problem in quantum mechanics nearing a com-

528 Between 1943 and 1962 he advanced from assis­ tant to professor of physics at the University of Tokyo. He has been professor of mathematics at the University of California, Berkeley, since 1962. Professor Kato served on the AMS Committee for the Symposium on Nonlinear Functional Analysis, April 16-19, 1968, in Chicago, lllinois. He has given addresses at several AMS meet­ ings, including the Symposium on Applications of Nonlinear Partial Differential Equations (New York, April 1964), the Special Session on Partial Differential Equations (Annual Meeting, Chicago, January 1966), the Symposium on Nonlinear Functional Analysis (Chicago, April 1968), the Special Session on Operator Theory (San Luis Obispo, November 1977), and the Special Session on Nonlinear Analysis (San Francisco, April 1978); other invited addresses were presented at the Conference in honor of Professor Marshall Stone (Chicago, May 1968), the International Conference on Functional Analysis and Related Topics (Tokyo, April 1969), the International Congress of Mathematicians (Nice, September 1970), the International Symposium "50 Years Schrooinger Equation" (Vienna, June 1976), and the Conference on Functional Analysis and its Applications (M.I.T., October 1979). He also gave Tosio Kato an invited hour address at the AMS meeting in Pasadena, California, in November 1970. Professor Kato was the recipient of the plete solution, though I feel myself now too far Asahi Award in 1960 and is a member of the behind to make any active contribution. Mathematical Society of Japan. His major re­ I have been fascinated by the Hille-Yosida­ search interests are functional analysis and ap­ Phillips theory of operator semigroups, and con­ plications and mathematical physics. tinually have tried to apply it to solving various evolution equations, linear and nonlinear. The simplest, and in many cases most powerful, CITATION FOR WIENER PRIZE: method for solving nonlinear equations is succes­ sive approximation. Here one has to solve a se­ G. B. Whitham's qualifications for the Wiener quence of linearized evolution equations, which Prize rest on his remarkably broad set of con­ are temporally inhomogeneous even if the original tributions to the understanding of fluid dynamical equation is homogeneous. Once a satisfactory phenomena and on his equally remarkable innova­ theory of linear equations is established, the tive contributions to the methodology through process of successive approximation can be con­ which that understanding can be constructed. verted into a general algorithm, with which one Either of these would suffice, in our opinion, but can handle a large number of partial differential with both he is a formidable candidate indeed! equations and integro-differential equations, as B. Whitham long as local (in time) solutions are concerned. Gerald One of my recent papers deals with the Korteweg­ I am greatly honored to be awarded a Norbert de Vries equation by this method, supplemented Wiener Prize in Applied Mathematics. It is most with the conservation laws to extend the solutions encouraging to have one's work recognized in this globally. Here I have found the semigroup theory way and I thank the members of SIAM and AMS especially powerful for constructing a completely very sincerely. In view of this award, I am par­ smooth solution for positive time, starting from ticularly glad that my two years at M.I. T. over­ any square-integrable initial function with com­ lapped with Professor Wiener and that I had some pact support. It is very interesting to observe that opportunity to talk with him. I am happy to the formally time-reversible equation exhibits a receive an award associated with his name. highly irreversible and smoothing behavior. Biographical Sketch Biographical Sketch Gerald B. Whitham was born on December Tosio Kato was born August 25, 1917, in 13, 1927, in Halifax, England. He received his Kanuma, Japan. He received a B.S. in 1941 and a Ph.D. from Manchester University in 1953, and D.Sc. in 1951, both from the University of Tokyo. was Lecturer in Applied Mathematics, 1953-1956.

529 for Advanced Study (Emeritus), for the total effect of his work on the general course of twentieth cen­ tury mathematics, especially in the many areas in which he has made fundamental contributions. Some highlights of his career in approximate chronological order are: a) Proof of the correct generalization of Mordell's theorem: The points on an abelian variety (complex torus with enough merom or­ phic functions) whose coordinates lie in a fixed algebraic number field form a finitely generated group (this is the Mordell-Weil theorem). b) New treatment of Haar measure and the recognition that the spectral theory of com­ pact operators is at the heart of the Peter-Weyl theorem-strong emphasis on Fourier analysis on locally compact groups (in his book L 'Intigration dans les Groups Topologiques et ses applications). c) Proof of the Riemann hypothesis for algebraic curves, entailing (i) Foundations of intersection theory on algebraic varieties (this appears in his book Foundations of algebraic geometry which was extremely influential and contained the first men­ tion of a notion of algebraic variety, constructed by patching like manifolds), (ii) Creation of the theory of abelian varieties over fields of all charac­ Gerald B. Whitham teristics, including almost all the fundamental results, (iii) Use of the inverse limit of the l"­ torsion points on the Jacobian. of a curve (l a From 1951 to 1953 he was Research Associate at prime, not equal to the characteristic of the base the Institute of Mathematical Sciences at New field) as the analog of a one-dimensional cohomol­ York University and returned there in 1956 as ogy group for the curve, and recognition that Associate Professor; from 1959 to 1962 he was the Frobenius operator and its action on this Professor of Mathematics at the Massachusetts "cohomology group" are crucial for the Riemann Institute of Technology. Mter a year's visit to hypothesis. the California Institute of Technology, he moved d) Generalization of the ideas above to al­ there permanently in 1962, first as Professor of gebraic varieties of dimension two or more result­ Aeronautics and Mathematics, and since 1967 as ing in his celebrated conjectures of Diophantine Professor of Applied Mathematics. Geometry. These "Weil Conjectures" were the Professor Whitham is a Fellow of the Royal prime movers behind the enormous flowering of Society and a Fellow of the American Academy of algebraic geometry and algebraic number theory Arts and Sciences. He has given invited lectures in the twenty-five years 1947-1974. The conjec­ at the AMS Summer Seminar in Potsdam, New tures were proved by Dwork, Artin-Grothendieck, York, 1972, the British Theoretical Mechanics Lubkin, and Deligne (Riemann hypothesis). Colloquium 1975 and the Canadian Congress of e) Recognition that the Riemann hypothesis Applied Mechanics 1977. gives the best estimate for important number­ His research interests are in :fluid mechanics theoretic sums (Kloosterman, Jacobi sums) and and wave propagation. This has included for­ the proof of these estimates in the one-variable mulas for the strength of sonic booms, theories case. of shock wave propagation and diffi.-action, varia­ f) The resurrection and considerable deepen­ tional methods for the general study of wave ing of Poincare's theory of 8-functions on abelian phenomena, and the introduction of nonlinear varieties and the shaping of a renewed theory group velocity and related concepts for dispersive of Kahler varieties by his influential book waves. Much of this work is presented in his book Introduction a l'Etude des Varieties Kiihliriennes. Linear and nonlinear waves. g) Fundamental work in the representation theory of certain locally compact groups and the demonstration of unexpected connections with CITATION FOR THE STEELE PRIZE number theory and class field theory (the papers FOR CUMULATIVE INFLUENCE: on the ''metaplectic" group). The Steele Prize for cumulative effect on mathe­ h) His several other books (among which are matics, or very high level of work over a long period Basic number theory and Elliptic functions accord­ of time is awarded to Andre Well of the Institute ing to Eisenstein and Kronecker) which stress the

S30 crucial connections between abstract analysis and number theory-a point of view so common today that we forget it took great insight to see it.

Andre Weil A message of thanks was received from Professor Weil, expressing his regrets about his in­ abil~ty to receive the award in person, and his deep appreciation of the honor conferred upon him by theAMS. Biographical Sketch Andre Weil was born May 6, 1906, in Paris, France, and received his D. Sc. degree from the University of Paris in 1928. He was professor at Aligarh Muslim University in India (1930-1932) and at the University of Strasbourg (1933-1940). He served as lecturer at Haverford College and Swarthmore College in 1941-1942, and as profes­ sor of mathematics at the University of sao Paulo, Brazil, from 1945 to 1947. From 1947 to 1958 he was professor at the University of Chicago. He was a professor at the School of Mathematics of the Institute for Advanced Study from 1958 until his retirement in 1976. Professor Weil has been AMS representative to the Board of Editors of the American Journal Harold M. Edwards of Mathematics (1955-1958). He has given in­ vited addresses at AMS meetings in New York (April 1944) and Chicago (February 1948). He cal discoveries. In placing before the mathe­ also gave addresses at International Congresses of matically literate public the important ideas and Mathematicians in 1950, 1954, and 1978. He is results of investigations involving the tangled a member of the Mathematical Society of France skeins of diophantine equations, algebraic number and the Indian Mathematical Society. His major theory, elementary number theory, and complex areas of research interest are theory of numbers, analysis, Edwards has rendered an important serv­ algebraic geometry, group theory, and the history ice to the mathematical community. of mathematics. Harold M. Edwards In 1969, when I began the work for which this CITATION FOR THE STEELE PRIZE prize is being given, I did not imagine, even in FOR MATHEMATICAL EXPOSITION: my most exhuberant fantasies, that work of this kind wQuld ever be commended by the American The Steele Prize for a book or research­ Mathematical Society. I had become interested in expository article in the category of Mathematical the Riemann hypothesis (a fact which will enable Exposition is awarded to Professor Harold M. any mathematician to guess what form my most Edwards of New York University for his two exhuberant fantasies did take) and I simply found books: it natural to look into the history of the problem a)Riemann's zeta function (Pure and Applied and, in particular, to study the brief memoir in Mathematics, Number 58) Academic Press, New which Riemann first advanced his "hypothesis." York and London, 1974 My inclination to the study of history is doubt­ b) Fermat's last theorem (Graduate Texts in less something I learned from my father, who Mathematics, Number 50) Springer-Verlag, New was fascinated by American history and whose York and Berlin, 1977 everyday life and thought were suffused with These books are very well written summaries of his appreciation of the importance of history. the main results on these two research-provoking Certainly nothing in my graduate education, problems. They give valuable historical informa­ which was otherwise excellent, contributed to my tion and provide a needed contribution to the his­ interest in the history of mathematics; it was only tory of ideas of the past three centuries. Moreover, after I received my Ph.D. that I began looking they are mathematically lucid and enable math­ into the works of Hilbert, Riemann, Poincare, and ematicians of all specialties to understand the others, more for pleasure and interest than as a mathematics of these important questions and serious part of my mathematical work. their potential for stimulating further mathemati- In any case, I read Riemann's eight page memoir

531 on the zeta function so many times I could other areas as the philosophy of mathematics and practically recite it, and each time I read it I reviewing-are essential to its well-being. Richard felt I understood something I hadn't understood Courant realized this, and, at the Institute which before. It seemed to me it would be worthwhile he built, men like Magnus, Morris Kline, and Peter to write an explication of the memoir in order Lax keep this tradition alive. However, in the to make it accessible to others who might be mathematical community as a whole-and par­ put oft' by Riemann's difficult and very condensed ticularly in the American Mathematical Society­ style. However, I hesitated because I didn't know it has always seemed to me that research was all, of any journal that might publish such an ar­ and that other activities were, at best, tolerated. ticle. Fortunately, my friend and colleague Bruce There have been a few indications in recent Chandler convinced me that if it was good it would years that the attitude of the Society was changing find an audience, and that I should go ahead and and that it did want to recognize and encourage try to write it. work other than research in the narrowest sense. AB I worked on it, the project expanded, more For example, I think an explication of Riemann's or less of its own accord, into a book-length ex­ memoir like the one I envisaged ten years ago position, not only of the contents of Riemann's might well be suitable now for the new Bulletin memoir, but also of other aspects of the theory of the AMS. But this award of the Steele prize for of the zeta function. The approach remained his­ expository writing seems to me to be the strongest torical, and I dealt with the original works of the and most unequivocal evidence of a broader at­ major contributors to the theory. I learned from titude on the part of the Society about the kind the inspiring introduction to Otto Toeplitz's book of work it wants to promote. on the development of the calculus to call this Thus, my happiness in receiving this award­ method of exposition the genetic method, defined already great because of the award itself and be­ by the dictionary as "the explanation or evalua­ cause it was so unexpected-is all the greater be­ tion of a thing or event in terms of its origin and cause I see it as an indication of this change. I development." My book is not a history, then; it feel certain that more talented mathematicians is an exposition of the theory of the zeta function will now be encouraged to devote more of their using the genetic method. efforts to good exposition and that in this way the Once the article had become a book, the prob­ Society will be promoting both the accessibility lem of finding an appropriate journal no longer and the richness of our mathematical culture. existed, but it was replaced by what I thought In conclusion, I would like simply to express might be the more difficult problem of finding a my gratitude for this honor. AB I read the list publisher. I am grateful to Wilhelm Magnus for of the names and works of the other recipients of encouraging me to submit the book to Academic the Steele prize I am humbled. The fact that so Press, and I am grateful to Sammy Ellenberg, few mathematicians have been writing expositions not only for accepting it in his prestigious series must have worked in my favor. The competition of monographs, but also for giving it its title, is likely to get stiffer, but I am determined to keep Riemann's zeta function, which I think is just up with it. right. Biographical Sketch AB I explain briefly at the end of the book, in order to pursue further the study of the Riemann Harold M. Edwards was born August 6, 1936, hypothesis, it seemed to me necessary to go in Champaign, Illinois. He received a B.A. from beyond the classical zeta function and to study the the University of Wisconsin in 1956, an M.A. generalized zeta functions that occur in algebraic from Columbia University in 1957, and a Ph.D. geometry and algebraic number theory. Through from Harvard University in 1961. He was an in­ a great piece of good fortune, I learned at just structor at Harvard {1961-1962) and research as­ this time, in 1973, that the Vaughn Foundation sociate and assistant professor at Columbia {1962- was interested in supporting work on Fermat's last 1966). Since 1966, he has been at New York theorem. Their encouragement and financial sup­ University, where he is now professor of mathe­ port made possible the second book for which the matics at the Courant Institute of Mathematical prize is now being awarded. It is an exposition, Sciences. In 1971 he was a visiting senior lecturer using the genetic method, of some basic aspects at the Australian National University. of algebraic number theory, including Kummer's Professor Edwards has spoken at the special ses­ proof of Fermat's iast theorem for regular prime sion on the history of mathematics at the Annual exponents. Meeting in San Antonio (January 1976) and at the I go into all this detail about how the two books special session on number theory in Washington, came to be written, because it is only against this D.C. (October 1979). He organized the special ses­ background that I can explain, even partially, the sion on the history of mathematics at the Annual great joy and satisfaction that this prize gives me. Meeting in St. Louis (January 1977) and presided It is not by research alone that mathematics grows at the special sessions commemorating the G$uss and flourishes. Work in mathematical exposition bicentennial at the Spring Meeting in New York and the history of mathematics-as well as such {April1977).

532 In addition to the books cited in the award Hochschild is one of the originators of homologi­ of the Steele prize, Professsor Edwards is the cal algebra. The first two papers cited are author of a book on advanced calculus (soon to be the beginning of the cohomology of associa­ republished by the Krieger Publishing Company) tive algebras where the so-called Hochschild and of a number of articles and book reviews. He cohomology, now ubiquitous in the theory of al­ and Professor Bruce Chandler were the founding gebras, was introduced. The third and fourth editors of the Mathematical Intelligencer. papers mentioned are fundamental contributions to other areas of homological algebra, namely the Professor Edwards is married to Betty Rollin, cohomology of groups and Lie algebras. They con­ an author and correspondent for NBC television struct what are now known throughout the litera­ news. He and his wife live in New York City. ture as the Hochschild-Serre spectral sequences. The fifth paper is the first place where class field CITATION FOR THE STEELE PRIZE theory is given a homological treatment. This FOR WORK OF FUNDAMENTAL point of view now dominates that subject and has OR LASTING IMPORTANCE: led to generalizations impossible with the older points of view. The Cole Prize winDing work of The Steele Prize for fundamental work is John Tate is based in part on the contributions awarded to Gerhard P. Hochschild of the found in the last cited paper. University of California, Berkeley, for his significant work in homological algebra and its ap­ Taken all in all, these papers form a consistent plications as exemplified by five papers: and deep application of homological methods to On the cohomology groups of an associative al­ wide and interesting areas of algebra and number gebra, Annals of Mathematics (2) 46(1945), 58-61 theory. They are in no small part responsible for On the cohomology theory for associative al­ the lasting influence of homology and cohomology gebras, Annals of Mathematics (2) 47(1946), 568- on algebraic questions. 579 The cohomology of group extensions (with Serre), Transactions of the American Mathemati­ EDITOR's NoTE. While deeply honored by the cal Society 74(1953), 110-134 Society's consideration of his work for a prize, The cohomology of Lie algebras (with Serre), Professor Hochschild reported that for per­ Annals of Mathematics (2) 57(1953), 591-603 sonal reasons he is unable to accept the Steele committee has Cohomology in class field theory (with Naka­ award. Nevertheless the selection reaffirmed its view that Hochschild's work cited yama), Annals of Mathematics (2) 55(1952),348- above fully merits the Steele Prize. 366

Contemporary Mathematics

The AMS has started a new soft-cover book series that will be published in the shortest possible time after receipt of an accepted manuscript. The cost will be kept low so that copies can be afforded by individuals. The series can include proceedings of a conference, whether or not sponsored by the Society, or lecture notes submitted by an individual author. As is the case with the proceedings of certain symposia, authors are encouraged to provide camera-ready copy for papers that have been accepted for publication. The Society will pay a typing fee of $5 or more per page for author-prepared copy, depending upon the number of lines to the inch, and will provide model paper and typing instructions. If necessary, papers can be prepared by the Society, but this increases costs and production time. The manuscripts will be refereed by an editorial board, with proceedings of a conference being regarded as a unit. Acceptance might therefore precede a conference and be based upon the identity of the sponsor or organizing committee. Typescripts or preprints of papers for this new series should be submitted to Professor James Milgram, Department of Mathematics, Stanford University, Stanford, California 94305, for transmission to the editors. If authors wish to type their papers in the format of Contemporary Mathematics prior to submission for publication, information about specifications and model paper is also available from Professor Milgram.

533 -IIHIHIHIHIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIHIIIIIIIIIIII...... IHHI .... HIIIIIIIIHHIIIHNIII .... III .... MU ..... IIIIIIIHIIIIIIIIHIIIII

REVIEWS IN GRAPH THEORY Compiled and Edited by William G. Brown McGILL UNIVERSITY DEPARTMENT OF MATHEMATICS

This publication is a .four-volume compendium of about 9,600 reviews in graph theory pub­ lished by Mathematical Reviews in Volumes 1 through 56, i.e. between 1940 and 1978 inclusive. Reviews were selected from the several sections of Mathematical Reviews which were the usual repositories of such items; from the subject lists in Mathematical Reviews indexes, where avail­ able; and through a systematic perusal of about half of all reviews published by Mathematical Reviews during the 39 years under consideration. Every review cited in a selected review was also read, and the process iterated until stable.

A classification scheme containing over 500 categories was developed for the purpose. Every review has been assigned one primary classification and, on the average, one secondary classi­ fication. Reviews are reprinted in strict chronological order of Mathematical Review numbers in their primary subject area, with a brief citation at each secondary location.

The final volume provides a detailed author index, which can serve as an effective bibliography of the subject.

These volumes are a research tool. They are directed to anyone who has occasion to consult the literature of graph theory: mathematicians, computer scientists, engineers, and management scientists, as well as students, teachers, and practicing researchers.

The potential reader requires no more background than would be required to read papers which are reviewed in the compendium. These vary from highly erudite papers in other areas of mathe­ matics where graph theory is used as a tool to solve specific problems, to elementary descrip­ tive papers which would be understandable to high school students.

A few of the reviews are themselves gems of the mathematical literature. But, for the most part, the reader will use this book as a research tool-to determine what has been done in a partic­ ular area of the subject, or to locate known papers when the values of not all parameters are available.

There has been nothing of this scope or magnitude in the subject before. This is the first major bibliography in graph theory which incorporates reviews.

The editor's previous work includes research papers in graph theory and related fields, and many reviews.

List lnst. Memb. lndiv. Memb. Student Complete set CODE: REVGRAPHK $200 $150.00 $50 $25.00 Volume 1, 604 pages REVGRA/1 K 68 52.50 17 8.50 Volume 2, 564 pages REVGRA/2K 68 52.50 17 8.50 Volume 3, 592 pages REVGRA/3K 68 52.50 17 8.50 Volume 4, 340 pages REVGRA/4K 40 30.00 10 5.00

Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901.

III,IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIHnlllliiiii.. IIIIIIIIII.IIIIIIIIIIIIIIIIIIIIIHIIIIIIIIIIIIIIUIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIHIIIIIHIIIIIIIIIII

534 NEW AMS PUBLICATIONS

REVIEWS IN GRAPH THEORY PRICE CORRECTION compiled and edited by William G. Brown In the August 1980 Notices, p. 457, incorrect prices Please see the description and price list on the were given for Analytic number theory, mathematical preceding page. analysis and their applications. This is volume 143 ISBN 8-8218-0214-3 (4 volume set); LC 80-17817 of the Proceedings of the Steklov Institute of Mathe­ Publication date: September 1980 matics. The correct prices are: List price $56, insti­ tutional member $42, individual member $28.

PROCEEDINGS RECENT REPRINTS OF THE STEKLOV INSTITUTE (ISSN 0081-5438) ELEMENTS OF NONLINEAR FUNCTIONAL ANALYSIS TAUBERIAN THEORY AND ITS APPLICATIONS by Richard A. Graff by A. G. Postnikov Memoirs of the AMS, Number 206 This monograph 1978, reprinted 1980, 196 pages (soft cover) is devoted to the classical version List price $8.40, institutional member $6.30, of Tauberian theory. The principal role is played by individual member $4.20 Tauberian theorems with remainder terms for power To order, please specify MEM0/206K series. Some applications of the theory are presented. The book is divided into 29 sections and progresses TRANSLATIONS OF from the Laplace-Stieltjes transform through theorems MATHEMATICAL MONOGRAPHS of Tauber, Littlewood, Hardy, Fatou, Subhankulov, Onishi, and lkehara. (ISSN 0065-9282) 1980, Issue 2, Number 144, v + 138 pages (soft cover) List price $26.00, institutional member $19.50, DISTRIBUTION OF ZEROS individual member $13.00 OF ENTIRE FUNCTIONS ISBN 0-8218-3048-1; LC 80-23821 Revised Edition Publication date: September 1980 To order, please specify STEKL0/144K by B. ja. Levin In the revised edition of Distribution of Zeros of Entire Functions the author has stated some new MEMOIRS OF THE AMERICAN results, without proofs, and added a 22-page MATHEMATICAL SOCIETY appendix of "Further development of the theory of functions of completely regular growth." The bib­ (ISSN 0065-9266) liography has been updated and inaccuracies and misprints corrected throughout. COLLI NEARITY-PRESERVING FUNCTIONS Volume 5, xii + 524 pages (soft cover) BETWEEN PROJECTIVE DESARGUESIAN PLANES. List price $24.00, institutional member $18.00, individual member $12.00 COLLINEARITY-PRESERVING FUNCTIONS ISBN 0-8218-4505-5; LC 80-36891 BETWEEN AFFINE DESARGUESIAN PLANES Publication date: 1964; revised edition 1980 two articles by David S. Carter and Andrew Vogt To order, please specify MMON0/5K Concepts from valuation theory are used to CBMS REGIONAL CONFERENCE characterize all collinearity-preserving functions from one affine or projective Desarguesian plane into an­ SERIES IN MATHEMATICS other. In addition to the familiar isomorphisms and (ISSN 0160-7642) other known classes several new classes of functions occur, including nontrivial cases in which the range LECTURES IN DIFFERENTIABLE DYNAMICS contains a triangle but no quadrangle. A key Revised Edition theorem is that, with the exception of certain em­ by Lawrence Markus beddings defined on planes of order 2 and 3, every This extensively revised and expanded edition of collinearity-preserving function from one affine Lectures in Differentiable Dynamics, first published Desarguesian plane into another can be extended to in 1971, provides an a collinearity-preserving authoritative exposition of the function between enveloping central results of projective planes. this fundamental and rapidly developing mathematical subject, starting from simple Memoir Number 235, v + 98 pages (soft cover) List price $5.20, institutional member $3.90, engineering systems and proceeding to current re­ individual member $2.60 search topics concerning differentiable flows on mani­ ISBN 0-8218-2235-7; LC 80-2047 folds. The original version of this monograph cul­ Publication date: September 1980 minates in the research results of the 1960s, em­ To order, please specify MEM0/235K phasizing the concepts of structural stability and

535 generic dynamics-with references to Morse-Smale tions of qualitative dynamics. The monograph will and Anosov hyperbolic differential systems. In the also be valuable to mathematical engineers and physi­ new edition there appears a general up-dating to cal scientists, who would like an overview of the cover research of the past decade through 1980, with modern directions of research and conceptual frame­ a major supplemental Appendix reviewing the modern works that are evolving within qualitative dynamics. developments under five basic areas: I. Nonlinear The motivations of nonlinear oscillations in engineer­ Oscillations, II. Diffeomorphisms and Foliations, ing, physics, astronomy, as well as biology and eco­ Ill. General Theory-Dissipative Dynamics, IV. Gen­ nomics, are shown to contribute to the abstract and eral Theory-Conservative Dynamics, V. Chaos, Catas­ general formulations of Differentiable Dynamics. trophe, and Multi-Valued Trajectories. The background expected of the potential reader There is also an extensive bibliography, including is that of a graduate course in ordinary differential special listings of important mathematical confer­ equations, and some introduction to the modern ences, major survey articles, and current research approach to differentiable flows on manifolds. articles. This book will be of interest to professional Number 3, vi + 77 pages (soft cover) mathematicians specializing in differential geometry, List price $4.80, individuals $2.40 ISBN 0-8218-1695·0; LC 80-16847 or differential or topological dynamics, who seek a Publication date: 1971; revised 1980 guide to the current literature and "state of the art" To order, please specify CBMS/3 K in the expanding and bewildering research ramifica-

PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, HELSINKI 1978* edited by 01/i Lehto

The Proceedings of the International Congress of A. N. Shiryaev, Absolute continuity and singularity Mathematicians held in Helsinki, August 15-23, 1978, of probability measures in functional spaces are in two volumes. Volume 1 contains an account of A. Weil, History of mathematics: why and how the Congress, the list of members, presentations of S.-T. Yau, The role of partial differential equations the works of the Fields medallists, the plenary one­ in differential geometry. hour addresses, and the invited addresses in sections In addition there were 120 invited forty-five­ 1-5. Volume 2 contains the invited addresses in sec­ minute addresses divided into nineteen sections. The tions 6-19. A complete index is included in both sections follow: volumes. 1. Mathematical logic and foundations of mathematics On the decision of the Fields Medals Committee, 2. Algebra the works of the Fie Ids medal Iists were presented as 3. Number theory follows: 4. Geometry 5. Topology N. M. Katz: The work of Pierre Deligne 6. Algebraic geometry L. Carleson: The work of Charles Fefferman 7. Lie groups, algebraic groups, automorphic functions j. Tits: The work of Gregori Aleksandrovitch Margulis 8. Real and functional analysis I. M. james: The work of Daniel Quillen 9. Complex analysis The invited one-hour plenary addresses included 10. Operator algebras and group representations follow: 11. Probability and mathematical statistics L. V. Ahlfors, Quasiconformal mappings, Teichmiiller 12. Partiitl differential equations spaces, and Kleinian groups 13. Ordinary differential equations and dynamical A. P. Calderon, Commutators, singular integrals on systems Lipschitz curves and applications 14. Control theory and optimization problems A. Cannes, von Neumann algebras 15. Mathematical physics and mechanics R. D. Edwards, The topology of manifolds and cell­ 16. Numerical analysis like maps 17. Discrete mathematics and mathematical aspects D. Gorenstein, The classification of finite simple of computer science groups 18. Mathematics in the social and biological sciences M. Kashiwara, Micro-local analysis 19. History and Education. N. N. Krasovskii, Control under incomplete informa­ tion and differential games Part I, 506 pages; Part II, 516 pages (hard cover) Price $70.00 for 2 volumes. R. P. Umglands, L-functions and automorphic ISBN 951-41-0352-1 representations Publication date: March 1980 ju. I. Manin, Modular forms and number theory To order, please specify PICMI78H S. P. Novikov, Linear operators and integrable Hamiltonian systems R. Penrose, The complex geometry of the natural *These proceedings were published for the 1978 Interna­ tional Congress of Mathematicians with the cooperation of world Academia Scientiarum Fennica and are being distributed by W. Schmid, Representations of semisimple Lie groups the AMS.

Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901.

536 LETTERS TO THE EDITOR

Time and Effort Reporting "events" which, in their view, must be documented; In the Notices for August 1980 (pages 444-446) the first of these is a "change in the number or level under the ti!le "Time and Effort Reporting," Serge ' of courses taught" The attention here to "level" of Lang has wntten about the new circular A-21 from courses taught suggests an invasion of university pre­ rogative, the Office of Management and Budget (OMB). It especially since the teaching load assessment happens that I have had considerable occasion to of the level of courses differs widely between univer­ sities. The study this circular, during my frequent visits to HEW Interpretations of A-21, 2 on page 33, specify Washington. I believe that very important questions for monitored workload that the "assign­ for all scientists are involved. ment document shall also describe the assignments This circular, entitled Cost Principles for Educa­ in sufficient detail (e.g. specific course, specific ad­ ministrative assignment, tional Institutions, covers many issues, with much etc.) to support the initial distribution." necessary detail about rules for accounting. For ex­ These particular statements may be withdrawn ample, indirect costs are shifted from a base of or modified, but they indicate a tendency "salaries and wages" to a base of "modified total for government attention to details of teaching. direct costs"; this shift has differential effects be­ The regulations in A-21 were drawn up by tween fields of science. Finally, a portion of the government officials with the good intention of reg­ circular dealing with "Compensation for Personal ulating abuses and controlling costs, in particular in­ S~rvic.es" has provisio~s. involving nearly all university direct costs. They were extensively discussed (1977- sc1ent1sts. These prov1s1ons require "Accounting for 1979) with various university officials. These offi­ ~ 00 percent of the work for which each employee cials were naturally much concerned with technical 1s compensated and which is required in fulfillment questions. I have been able to find no working sci­ of the employee's obligations to the institution." entist (except for the President's Science Advisor) This is an extraordinary statement, since it seems who had any part in these discussions. This is an to assume that at each university there is a specified oversight; often questions of principle are lost behind requirement for the work expected of faculty. More­ technical details. For example, the National Science over, this provision is not limited to accounting for Board was informed in 1976 of some technical nego­ portions of salary directly S!Jpported by the govern­ tiations about A-21, but did not hear anything about ment; such accounting is surely appropriate. How­ the personal activity reports until February 1980. ever, this circular goes well beyond such direct The Science Board did subsequently express its con­ accounting. cern about the reports. At each university it will require the faculty in­ To summarize: Drastic new reporting require­ volved to specify the percentage of their "activity" or ments are to be imposed on university scientists; by "work" in each of a number of different directions: oversight, this has been done without adequate con­ sponsored research, non-sponsored research, teaching sultation with these scientists. Clearly this situation departmental administration and the like. Except ' should be brought forcibly to the attention of for _the name, this is "time and effort" reporting faculty senates, university presidents, and government officials. agam. The OMB responds to this objection by stating These various groups have a joint interest that they have not talked about "time and effort" in the effective development of scientific research, and for years. This is literally true, but there is an inter­ they all can be concerned that these new regula­ pretation of circular A-21, put out by HHS (Health tions, intended for different purposes, may seriously constrain and Human Services; once HEW-Health, Education effective scientific research in this country. and Welfare). This interpretation says that "activity " Saunders Mac Lane 11 U k "t" " d U f" " I University of Chicago wor , 1me, an e .ort are synonymous. In 1 - my considered opinion, percentages under any of A Workshop on OMB Circular A-21, revised March 6 1979, Cost Principles for Educational these n~mes are meaningless and artificial. Recording Institutions, selected pages; from the Office of Grant and Contract Financial them will lead to results which are confusing and so Management, Office of the Assistant Secretary for Manage­ will cause future trouble. In fact, present p~rcentage ment and Budget, revised January 2, 1980. reco~ds ke_Pt by some universities have displayed in­ 2HEW Interpretations of OMB Circular A-21 revised consistencies. The presence of such inconsistencies March 6, 1979, Cost Principles for Educational l~stitutions, is one reason advanced by HHS for their desire to selected pages; from the Office-of Grant and Contract Finan­ have 1 00 percent reporting. I suspect that it is rather cial Management, Office of the Assistant Secretary for Man­ an example of "nonsense in, nonsense out" agement and Budget, December 11, 1979. In any event, these percentages are not likely to My letter to the editors, August 1980 Notices catch the occasional abuses of government funds. was written last spring. Developments since then ' Second, this regulation from A-21 covers all make its conclusion obsolete. university activities, including teaching not funded by The_ Office of Management and Budget (OMB) is the government This could lead to trouble. For now trymg to enforce a revised version of Circular example, the H_EW Workshop on A-21, 1 on page 23, A-21, imposing "procurement" philosophy and pro­ under the momtored workload system, lists six cedures on universities, rather than the "assistance"

537 intended by Congress in the Chiles Act.1 They also improper, simply that they could not be audited encroach in various ways on scientific management. under existing regulations and must be adjudicated). The required documentation has been characterized The figure 5. 7% is an upper bound and may be much as "cumbersome and meaningless" in the resolution lower, depending on which year is selected to make of the Business Meeting of the National Academy of computations. Furthermore, only 0.23% were re­ Sciences (NAS) reprinted in the Notices, August ported as not properly charged.2 1980, p. 448. In particular, it involves a decomposi­ The issue occurs in a political context, and it is tion of time, or effort, or activity, or workload into important that Congress should reassert its policy­ percentages adding to 1 00%. Except for a cosmetic making role (not to speak of the President's control change in terminology, this amounts to "effort re­ over OMB). Already Senator Birch Bayh is quoted ports" even worse than those of last decade, and is in The Chronicle of Higher Education (9 June) to called that way by most people. Signing these forms say that the procedures specified in Circular A-21 may lead to "inappropriate controls" by OMB, es­ are "precisely the kind of paperwork requirement pecially through audits by people with a very limited that has proven to be so deadly to the creative perspective, lacking proper knowledge of the univer­ spirit." In light of the lack of proper response from sity and research environment. OMB, it is therefore important that faculties express Editorials in Science (25 April by the editor, their opposition directly to Congress and publicize Philip Abelson; 8 August by Lewis Branscomb of it in the scientific and academic press. They are en­ IBM, also chairman of the National Science Board) couraged in this by top administrators (cf. the letters support the academic community on this issue. from the Director of NSF and the Deputy Provost at Many people who have written to OMB have re­ Yale quoted in my letter, Notices, August). Last ceived form letters in answer. On May 29, 1980, 23 May, the Yale Graduate Faculty passed a resolu­ President Bartlett wrote on behalf of the Association tion supporting the NAS resolution. The Mathematics of American Universities (AAU), the National Aca­ Departments at Berkeley and Yale refused to fill out demy of Sciences, the Delegation for Basic Bio­ the forms. medical Research, and the Council of Scientific So­ I recommend that your faculty, or academic ciety Presidents, in an effort to have the objection­ senate, do likewise: endorse the NAS resolution; able parts of A-21 suspended, suggesting that OMB support the AAU and ask for suspension of the adopt recommendations of the National Commission parts of A-21 dealing with time, effort, or activity on Research (NCR). Cf. Science, 14 March, 1980. reports; refuse to fill out forms requesting meaning­ A committee of AAU, joined by Saunders Mac Lane less documentation. Send a copy of your resolution (Vice President, NAS), met with John Lordan (Chief, to your Senator, Representative, and others listed Financial Management Branch of OMB) last July, below.3 S. Lang with little result. James Mcintyre, Director of OMB, Yale University wrote to Tom Bartlett, President of AAU, saying it "would not be advisable to suspend the existing re­ 1 An excellent analysis can be obtained from David quirements" under OMB Circular A-21, even though Mears, Coordinator of Projects and Grants, Systemwide Ad­ the AAU had received the support of Secretary of ministration, 491 University Hall, University of California, Education Shirley Hufstedler {as reported in the Berkeley, California 94720. Notices of the Academic Council, University of 2The accounting firm of Haskins and Sells stated that the " ... degree California, 6 August 1980). of error in accounting for Federal Funds is slight compared to the total amount being expended and Testimony by John Lordan to the House Com· the research being produced ••. " For further details, ask mittee on Science and Technology last spring made Richard Sessions (UCLA), Administrative Director, Center it appear as if universities were engaged in fraud and for Ulcer Research, Veterans Administration Center, Building abuse. But the Report of the NCR states that 5. 7% 115, Room 217, Los Angeles, California 90073. of the total $1.5 billion in grants and contracts to 3 Addresses for mailings: Frank Press, Presidential Science educational institutions were determined by auditors Advisor, and james Mcintyre, Director of OMB, both in Executive Office Building, Washington, DC; House Commit­ as subject to question (not that they were illegal or tee on Science and Technology, House of Representatives, Washington, DC; Shirley Hufstedler, Secretary of Education, Letters submitted for publication in the Notices are re­ Washington, DC; editors, Science, 1515 Massachusetts viewed by the editorial committee whose task ·is to Avenue, N.W., Washington, DC 20005; Chronicle of Higher determine which ones are suitable for publication. The Education, Attn. Edith Uunjla, 1333 New Hampshire publication schedule requires from two to four months Avenue, N.W., Washington, DC 20036. between receipt of the letter in Providence and the pub­ lication of the earliest issue of the Notices in which it I want to state my opinion that the effort by could appear. The committee adopted a policy that the Serge Lang and Notices does not ordinarily publish complaints about re­ others to revive the Ti.me and Effort views of books or articles, although, following an. 'in­ Reporting controversy of the 1960s is a dubious struction from the Council, rebuttals and correspondence enterprise. Lang may think that he won the battle concerning reviews in the Bulletin will be considered for with the Office of Management and Budget-the publication. Letters submitted for consideration by the mathematical community lost the war. editorial committee should be mailed to the Editor of the .Notices, American Mathematical Society, P.O. Box I believe as deeply as Lang in the value of inde­ 6248, Providence, Rhode Island 02940. pendent intellectual activity, but we are inevitably embedded in the society in which we find ourselves

538 and which pays our salaries. This is a commercial My reasons for removing you from the Editorial Board society run by lawyers and businessmen, not the of the journal of Differential Equations are, I believe, well known to you and elite of the Grandes Ecoles. to the mathematical community at large. It has a long, unfortu­ They have nothing to do with the last and throw-away para­ nate and self-destructive history of hostility to intel­ graph of my letter. Because that paragraph is both irrelevant lectual activities such as mathematics. In fact, and convolutabie, it should have been omitted. America of 1980 is not by any means the worst of As you have pointed out, and I acknowledge, being an societies-and it is slowly learning that it needs us editor of our journal is of no real importance to you; how­ ever, your removal was a drastic action and not one that I as much as we need them. If it will make some took lightly. Based on the questions raised of your scientific bureaucrat happy to have me fill out one more form, objectivity and the evidence presented, I removed you from who am I to deprive him of his pleasure? the Editorial Board to protect the integrity of the journal. I took this action with reluctance and regret, but did so Robert Hermann freely and of my own volition. Brookline, Massachusetts Sincerely yours, Journal of Differential Equations joseph P. LaSalle The enclosed Editor-in-chief correspondence of Professor journal of Differential Equations LaSalle with Academician Pontrjagin, is, we think, self-explanatory. We think it is of general interest to the American mathematical community and we Dispatching Articles for Review are therefore submitting it for publication in the Recently an interesting paper on polynomial Notices. algorithms received spectacular coverage in the pop­ Robert Finn ular media, e.g. The New York Times, Science and Charles Stein Science News as well as various foreign equivalents. Stanford University Granted the theoretical importance of the short March 5, 1980 paper, I believe it would be interesting to determine Dear Academician Pontryagin: as a temporal "base line" when (or if) the various This letter is to inform you that I, as Editor-in-Chief, am mathematical review journals and operations research removing you from the Editorial Board of the journal [of review publications dispatched for review: (1) the Differential Equations]. original article from Doklody or (2) the (English) I do appreciate your support when Lefschetz and I founded this journal in 1964. translation. At least one of the popular articles left It is deplorable that the Soviet Academy of Sciences is the mistaken impression, I believe, that too many of unable to protect the intellectual and academic freedom of us do not or cannot translate foreign technical articles scientists in the U.S.S.R. Under the continuing repression or books. On the other hand, only about 20% of the of your government, Soviet scientists cannot expect to have publications I receive for review are in a the respect and cooperation of the international scientific foreign community. language (German, French, or Russian). In my Sincerely yours, opinion, such review material should overage much j. P. LaSalle closer to 30% of one's review material with reason­ Editor-in-Chief able exceptions. Moscow, April 11, 1980 Albert A. Mullin Dear Professor LaSalle, Redstone Arsenal Your Letter of March 5, 1980 has just reached me. Alabama I would like to inform you that my membership in your Editorial Board never was of any need for me. it was of NOTE: The Doklody article by Hacijan was refer­ some need for you only. At the same time I understand enced in the June 22, 1979, issue of Current Mathe­ that you were forced for your actions against me, and I keep matical Publications under Mathematical Programming my personal friendship to you. But I have never thought that the position of American scientists was so bad that you (90C) and was dispatched for review in July. would be compelled to insult me personally, declaring that J. L. Selfridge Soviet scientists cannot be respected. I can assure you that in our country nobody could force me to do such a humil­ Executive Editor iating action. Mathematical Reviews In spite of all unfriendly actions of some American coll.eagues, our scientists, including me, continue to support the international scientific cooperation. Sincerely yours, At its meeting in August 1980, the Editorial Com­ L. Pontrjagin mittee of the Notices proposed a procedure for han­ dling rebuttals and rejoinders to letters to the editor. Readers who wish to respond to letters published in EDITOR'S NOTE: Professor LaSalle has submitted this issue are urged to do so prior to the first of the following letter addressed to Academician December. Responses received by that date may be Pontryagin, which continues the exchange of letters edited to reduce repetition and will be considered for above. publication in the February 1981 issue. A second round of rejoinders to these responses will then be june 17, 1980 scheduled for possible publication in the june 1981 Dear Academician Pontryagin: issue. After publication of the second set of re­ I have just received through a third party a copy of your sponses, the committee hopes that readers will find letter to me dated April 11, 1980. The original of your some new topics to discuss in these pages. letter was never delivered.

539 NEWS AND ANNOUNCEMENTS

1982 INTERNATIONAL March 1980, nineteen additional awards were made, CONGRESS OF MATHEMATICIANS of which twelve were of two years' duration. The number of awards to be made in 1981 will The Organizing Committee has announced that be approximately the same as in 1980. The deadline the next International Congress of Mathematicians for receipt of applications will be January 3, 1981, will be held in Warsaw, Poland, August 11-19, 1982. with awards being announced in early March 1981. The host institution is the Institute of Mathe­ Applications will be accepted in core mathematics, matics of the Polish Academy of Sciences. The applied mathematics, and statistics. The stipend for Chairman of the Organizing Committee is Professor the 1980 awards was $15,000 plus an allowance of Czeslaw Olech. $1 000 for expenses incurred in performing research, The First Announcement containing detailed bu~ it is expected that the 1981 awards will be sub­ information will appear in summer 1981. stantially larger. These fellowships will be adminis­ tered by the Mathematical Sciences Section of the KAZIMIERZ KURATOWSKI NSF. Kazimierz Kuratowski died on June 18, 1980 A more detailed announcement will appear in at the age of 84 years. He was a member of the the Notices as soon as possible and will also be sent Society for 31 years. Professor Kuratowski was to departments of the mathematical sciences. Further educated in Glasgow and Warsaw Universities, held information may be obtained from Dr. Alvin I. academic and administrative positions at the Lwow Thaler, Program Officer for Special Projects, Mathe: Polytechnic Institute and Warsaw University, and matical Sciences Section, National Science Foundation, served as a visiting lecturer at many of the major 1800 G Street N.W., Washington, DC 20550. universities in the world. He was vice president of the Warsaw Society of Science, the Polish Academy AMS RESEARCH FELLOWSHIP FUND of Sciences, and the International Mathematical Request for Contributions Union, President of the Polish Mathematical Society, and Director of the Mathematical Institute of the The AMS Research Fellowship Fund was Polish Academy. His books are well known through­ established in 1973. From this fund AMS Research out the world: Topologie I (1933}, II (1950), Fellowships are awarded annually to individuals who Calculus (1948), Set Theory (with Mostowski, 1952}, have received the Ph.D. degree, who show unusual Introducing Set Theory and Topology (1955). He promise in mathematical research, and who are citi­ gave invited hour addresses at meetings of the Society zens or permanent residents of a country in North in New York City in April 1936 and October 1948. America. The Trustees of the Society raised the stipend for these fellowships to $15,000 for 1980- 1981. DANIEL B. RAY MEMORIAL Twenty-three Research Fellowships have been In memory of Daniel B. Ray, his friends, col­ awarded including three granted for 1980-1981 (see leagues and family are contributing to a fund in his the announcement in the June 1980 Notices, p. 363}. honor to be established at the Massachusetts Institute The number of fellowships awarded depends, of of Technology. This fund will be used to support course, on the contributions the Society receives. undergraduate and graduate-level studies in the The Society itself contributes a minimum of $9,000 Department of Mathematics at M.I.T. It is hoped to the Fund each year, matching one-half the funds that this fund will serve to honor Professor Ray's in excess of $18,000 raised from other sources, up personal and professional achievements during his to a total contribution by the Society of $20,000. twenty-five years as a mathematician and teacher. It is hoped that every member of the Society will Those who wish to contribute to this fund should contribute to the Fund. send checks, payable to Massachusetts Institute of Contributions to the AMS Research Fellowship Technology, to: Daniel B. Ray Memorial Fund, Fund are tax deductible. Checks should be made Department of Mathematics, Room 2-236, M.I.T., payable to the American Mathematical Society, Cambridge, Massachusetts 02139. clearly marked "AMS Research Fellowship Fund", and sent to the American Mathematical Society, NSF MATHEMATICAL SCIENCES P. 0. Box 1571, Annex Station, Providence, Rhode POSTDOCTORAL RESEARCH FELLOWSHIPS Island 02901. The program of postdoctoral research fellowships AMS RESEARCH FELLOWSHIPS in the mathematical sciences, initiated by the Mathe­ Invitation for Applications matical Sciences Section of the National Science AMS Research Fellowship Awards are made in Foundation in fiscal year 1979, will be continued in February each year; the application deadline is the fiscal year 1981. previous December 31. For awards made in 1980 Fifteen fellowships were awarded in March 1979, the stipend was increased to $15,000 (part of which seven of which were of two years' duration. In is tax-exempt) plus an allowance of $500. The in-

540 crease for 1980-1981 is yet to be determined by the which may be supplemented by a small amount Trustees of the Society. toward relocation and travel expenses. It may also These postdoctoral fellowships support research be supplemented by sabbatical salary or other em­ in mathematics during the academic year, and are ployer contribution in the case of a person on sab­ open to individuals who have recently received the batical leave for the 1981-1982 year. Ph.D. degree, regardless of age, and who are citizens The 1980-1981 AMS-MAA-SIAM Fellowship was or permanent residents of a country in North Amer­ awarded to Cheryl G. Tropf, a senior staff mathema­ ica Recipients of the fellowships may not hold tician at the Applied Physics Laboratory of the another grant or salaried position concurrently with johns Hopkins University (August 1980 Notices, the Research Fellowship. It should be noted, how­ p. 447}. Robert T. Smythe of the University of ever, that these fellowships are more flexible than Oregon was the 1979-1980 recipient, while Edmund many others, including NSF postdoctoral fellowships. Gregory Lee of Fordham University received the AMS Research Fellowships may be held at any insti­ 1978-1979 award. tution the Fellow selects, or at more than one in suc­ The AMS-MAA-SIAM Congressional Science cession, and there is flexibility in the choice of time Fellowship is to be awarded competitively to a interval(s} in which the Fellow may draw funds. mathematically trained person at the postdoctoral For further information and application forms, level without regard to age, sex, race, or ethnic write to Dr. William j. LeVeque, Executive Director, group. Selection will be made by a panel of the American Mathematical Society, P. 0. Box 6248, AMS-MAA-SIAM joint Projects Committee for Providence, Rhode Island 02940. Mathematics with the cooperation and advice of the overall AAAS program. Applications should be sent USSR AND EASTERN EUROPE to the Conference Board of the Mathematical Sci­ SCIENTIFIC EXCHANGE PROGRAMS ences, 1500 Massachusetts Avenue, N.W., Suite 457- 458, Washington, D.C. 20005. The deadline for re­ The National Academy of Sciences (NAS) invites ceipt of applications is February 15, 1981. It is applications from American scientists who wish to anticipated that the award will be announced by make professional visits in the USSR, Bulgaria, April 1, 1981. Czechoslovakia, the German Democratic Republic, In addition to demonstrating exceptional com­ Hungary, Poland, Romania, and Yugoslavia, during petence in some areas of the mathematical sciences, the period September 1, 1981 through December 31, an applicant for the AMS-MAA-SIAM Congressional 1982. Science Fellowship should have a rather broad sci­ Applicants must be U.S. citizens and have a entific and technical background and a strong inter­ doctoral degree or its equivalent by the time of est in the uses of the mathematical and other sci­ application in mathematics, the physical, biological, ences in the solution of societal problems. He or or engineering sciences, social or behavioral sciences, she should also be articulate, literate, flexible and or non-patient oriented medical sciences. Those areas able to work effectively with a wide variety of people. in the social or behavioral sciences which are oriented An application should state why the applicant wants toward empirical and quantitative analysis of individual to be a Congressional Science Fellow, should sum­ and group behavior are included. All necessary ex­ marize his or her qualifications, and should be accom­ penses will be met by the NAS and the foreign aca­ panied by a resume. Also, CBMS should receive by demy. February 15, 1981, three letters from persons knowl­ The deadline for requesting applications is edgeable about the applicant's competence and suit­ Friday, October 17, 1980. To request forms, write ability for the award. or telephone: Section on USSR & Eastern Europe, Congressional Science Fellows spend their fellow­ National Academy of Sciences, 21 01 Constitution ship year working on the staff of an individual con­ Avenue, N.W., Washington, DC 20418; 202-389-6616, gressman or a congressional committee or in the 6228. congressional Office of Technology Assessment. Based on information on available congressional staff AMS-MAA-SIAM CONGRESSIONAL positions gathered by the AAAS during the summer, SCIENCE FELLOWSHIP FOR 1981-1982 each Fellow's assignment is worked out by the Applications are invited from candidates in the Fellow and the congressional office concerned follow­ mathematical sciences for a Congressional Science ing an intensive two-week orientation and interview Fellowship to be supported jointly by the American procedure organized by the AAAS during which the Mathematical Society, the Ma1:hematical Association Fellows encounter many facets of Congress, the of America, and the Society for Industrial and Executive Branch, and people and organizations on Applied Mathematics for the twelve-month period the Washington scene. The AAAS provides advice beginning September 1, 1981. The AMS-MAA-SIAM and assistance during the process and remains in fre­ Fellow will serve, along with several Fellows selected quent and regular contact with all the Fellows by the American Association for the Advancement of throughout the fellowship year. More detailed in­ Science and around thirty Fellows sponsored by formation about the overall program is available other scientific societies, under an annual program from AAAS Congressional Science Fellow Program, coordinated by the AAAS. The stipend for the 1776 Massachusetts Avenue, N.W., Washington, D.C. 1981-1982 AMS-MAA-SIAM Fellowship is $20,000, 20036; telephone 202-467-4475.

541 INSTITUTE FOR ADVANCED STUDY 1982. Smithsonian Fellowships are awarded to sup­ port independent research using Smithsonian The School of Mathematics of the Institute for Institu­ tion Advanced Study will grant a limited number of conections, archives,. laboratories; and other facilities, and pertaining to Smithsonian memberships, some with financial support, for re­ professional search in mathematics at the Institute during the staff research interests. Proposals for research may academic year 1981-1982. Candidates must have be offered in fields in which the Institution has re­ given evidence of ability in research comparable at search strength: history of mathematics, physical sci­ least with that expected for the Ph.D. degree. Appli­ ences, medicine and pharmacy, engineering, trans­ cation blanks may be obtained from the Administra­ portation, agriculture, air and space, and electrical tive Officer of the School of Mathematics, Institute technology, and the history of science in America. for Advanced Study, Princeton, New Jersey 08540, Smithsonian Fellowships may be granted to post­ and should be returned (whether or not funds are doctoral and predoctoral scholars to pursue further expected from some other source) by January 15, training in research. Applications are due by jan­ 1981. The Institute is an Equal Opportunity/Affir­ uary 15, 1981. Stipends supporting these awards are: mative Action Employer. a minimum of $14,000 plus allowances for post­ doctoral fellows, and a minimum of $8,000 plus allowances for predoctoral fellows. FULBRIGHT-HAYS AWARDS FOR 1980-1981 Awards are based on merit. Smithsonian Fellow­ Nine Fulbright-Hays awards have been made to ships are open to all qualified individuals without American scholars in the field of mathematics for reference to race, color, religion, sex, national origin the 1980-1981 academic year. The awards for lec­ or age of any applicant. For more information and turing, consultation, research, or travel were recently application forms please write: Office of Fellowships announced by the Council for International Exchange and Grants (Desk E), 3300 L'Enfant Plaza, Smith­ of Scholars. sonian Institution, Washington, D.C. 20560. Please Listed below are the recipients of the awards, indicate the particular area in which you propose to their proposed activity and the institutions to conduct research and give the dates of degrees re­ which they will travel. Robert H. Berk (Rutgers ceived or expected. University, New Brunswick), Research in sequential analysis and certain aspects of the theory of robust­ 1981-1982 EXCHANGE PROGRAM ness, University of Tel Aviv, Israel; Z. William WITH PEOPLE'S REPUBLIC OF CHINA Birnbaum (University of Washington), Lecture on The Committee on Scholarly Communication statistics, Hebrew University, Israel; Charles W. Curtis with the People's Republic of China (CSCPRC) has (University of Oregon), Research on representation announced three programs of scholarly exchange in theory of reductive algebraic groups over finite fields, the natural sciences, engineering, social sciences, and University of Sydney, Australia; james M. Henle humanities between the U. S. and China for 1981- (Smith College), Lecture on mathematics and advise 1982. on curriculum development, University of the Philip­ The CSCPRC is jointly sponsored by the Ameri­ pines, Quezon City; David C. Kurtz (Salem College, can Council of Learned Societies, the Social Science North Carolina), Lecture on algebra, trigonometry Research Council, and the National Academy of Sci­ and calculus, Chancellor College, University of Malawi, ences. It has administered programs of scholarly ex­ Zomba; Carlos J. Moreno (University of Illinois, change with China since 1972. Urbana-Champaign), Participation in mathematics The following three programs were announced conference and courses in theory of modular form, recently. institutions in Colombia; Bruce P. Palka (University The National Program For Advanced Study and of Texas, Austin), Lecture on theory of quasicon­ Research in China offers opportunities for graduate formal mappings, University of Helsinki, Finland; students and postdoctoral scholars to carry out long­ james E. Scroggs (University of Arkansas, Fayette­ term study (10-12 months) or research (3-12 months) ville), Lecture on analytic geometry, numerical anal­ in affiliation with Chinese universities and research ysis, Cuttington University College, Suacoco, Liberia; institutes. The application deadline is November 7, Marshall H. Stone, (University of Massachusetts, 7980. Amherst), Lecture on functional analysis, algebra of The Distinguished Scholar Exchange Program pro­ logic, mathematical foundations of quantum physics, vides opportunities for American and Chinese senior Tata Institute of Fundamental Research, Bombay, scholars to spend one to three months in the host and Madurai-Kamaraj University, India. country engaging in a combination of research and lecturing. The application deadline is October 6, 7980. SMITHSONIAN OPPORTUNITIES The Conferences Program solicits proposals for IN THE HISTORY OF conferences in the United States or China. The TECHNOLOGY AND SCIENCE application deadline is December 7, 7980. The Smithsonian Institution has announced its Inquiries should be addressed to the CSCPRC, program of higher education and research training in National Academy of Sciences, 21 01 Constitution the History of Technology and Science for 1981- Avenue, Washington, D.C. 20418.

542 NATIONAL SCIENCE FOUNDATION Jersey); David Kullman (Miami University); John B. MATHEMATICAL SCIENCES POSITIONS Lane (Edinboro State College); Kotik K. Lee (Uni­ versity of Rochester); Eugene H. Lehman (Trois Positions for program directors in the Mathe­ Rivieres, Canada); William J. LeVeque (AMS); William matical Sciences Section of NSF's Division of Mathe­ F. Lucas (Ithaca, New York); Eugene Lukacs (Wash­ matical and Computer Sciences periodically become ington, DC); Francis E. Masat (Pitman, New Jersey); available. These positions are held on a one- or two­ Vincent 0. McBrien (Auburn, Massachusetts); Robert year basis; salaries are negotiable. Applicants should A. Melter (Southampton College); Sanford S. Miller have a Ph.D. or equivalent experience and training in (SUNY, College at Brockport); Zane Motteler an appropriate field, plus six years of successful sci­ (Michigan Technological University); Dale H. Mugler A broad general knowl­ entific research experience. (University of Santa Clara); Eric C. Nummela (New some administrative experience edge of the field and England College); Michael Olinick (Middlebury further information, call Mr. are also required. For College); George Piranian (University of Michigan, E. Paul Broglio, Division of Personnel and Manage­ Ann Arbor); Lyle E. Pursell (University of Missouri, ment; 202-357-7841. Rolla); Gordon Raisbeck (Cambridge, Massachusetts); COLLOQUIUM LECTURE NOTES C. J. Rhee (Wayne State University); Alex Rosenberg A set of four Colloquium Lectures was presented (Cornell University); I. Richard Savage {Yale Univer­ by Julia B. Robinson of the University of California, sity); Hans W. E. Schwerdtfeger (McGill University); Berkeley, at the summer meeting in Ann Arbor, Thomas H. Southard (California State University, Michigan, in August 1980. Copies of the lecture Hayward); Raymond A. Spong (East Lynne, Connec­ notes, entitled Between logic and arithmetic (11 ticut); Diane M. Spresser (James Madison University); pages) are still available. Lawrence D. Stone (Paoli, Pennsylvania); Charles J. Requests should be accompanied by a check or Thorne (Camarillo, California); H. Westcott Vayo money order for one dollar per copy to cover the (University of Toledo); Peter J. Welcher (U.S. Naval costs of handling, and mailed to the Society at P. 0. Academy); Myron E. White (Teaneck, New Jersey); Box 1571, Annex Station, Providence, Rhode Island W. Thurmon Whitley (University of New Haven); and 02901. The notes, which were distributed to those Brian J. Winkel (Albion College). who attended the Colloquium Lectures in Ann Arbor, Anyone who would be willing to be a part of do not constitute a formal publication. Please note this service is invited to send his or her name, address, that informally distributed manuscripts and articles and field of interest to Career Information, American should be treated as personal communications and Mathematical Society, P. 0. Box 6248, Providence, are not for library use. Reference to the contents of Rl 02940. such an informal publication should have the prior 1982 AMS SUMMER INSTITUTE approval of the author. Suggestions for topics of the 1982 AMS summer PANEL OF VOLUNTEERS research institute should be received by the Commit­ FOR CAREER INFORMATION tee on Summer Institutes prior to December 15 for The American Mathematical Society and the consideration at the annual meeting in San Francisco. many students who ask for career information from The institute is intended to provide an understandable the Society are indebted to the volunteers listed be­ presentation of the state of the art in an active field low, who have, with impressive care and thoughtful­ of research in pure mathematics (there are other ness, encouraged students in mathematics by answer­ provisions for presentations in applied mathematics). ing their letters. Most of the requests received each Optimally, the suggestions should include the pro­ month are routine in nature and are answered by posed members of the Organizing Committee (or at sending the correspondent a brief brochure on least its chairperson) and a two- or three-page detailed careers in mathematics. Some of the letters, how­ outline of the subjects to be covered, including sug­ ever, show a real interest in mathematics; it is these gested principal speakers. The organizer of the sum­ that are sent to the panel of volunteers to be an­ mer institute ultimately selected should note that he swered. The present roster includes: or she will receive the full support and assistance of Richard A. Alo (Lamar University); Richard V. the professional meeting staff in the Society's Provi­ Andree (University of Oklahoma); Prem N. Bajaj dence office. (Wichita State University); George Berzsenyi (Lamar Recent topics have been Harmonic Analysis in University); Barnard H. Bissinger (Pennsylvania State Euclidean Spaces and Related Topics (1978); Finite University, Middletown); Wray G. Brady (Slippery Group Theory (1979); and Operator Algebras and Rock State College); Robert C. Carson (University of Applications (1980). Akron); D. V. Chopra (Wichita State University); Anyone wishing to suggest topics should write to Romae J. Cormier (DeKalb, Illinois); Paul William the Meeting Arrangements Department at the Ameri­ Davis (Worcester Polytechnic Institute); Deborah T. can Mathematical Society, P. 0. Box 6248, Providence, Haimo (University of Missouri, St. Louis); Franklin Rhode Island 02940, and request the form to be sub­ Haimo (Washington University); Robert A. Herrmann mitted to Professor Robert Osserman, Chairman of (U.S. Naval Academy); Arthur M. Hobbs (Texas the AMS Committee on Summer Institutes. Be aware A & M University); John Kenelly (Clemson, South that dates for a summer institute must not overlap Carolina); Deborah F. Kornblum (Holmdel, New those of the Society's summer meeting and, in fact,

543 there should be a period of at least one week between Fellowships. Panels of eminent scientists and engineers them. appointed by the National Research Council will eval­ uate qualifications of applicants. Final selection of NATIONAL SCIENCE FOUNDATION the Fellows will be made by the Foundation, with POSTDOCTORAL FELLOWSHIPS awards to be announced in March 1981. IN SCIENCE FOR 1981-1982 Eligibility in the NSF Graduate Fellowship Pro­ The National Research Council will advise the gram is limited to those individuals who, at the time National Science Foundation in the selection of can­ of application, have not completed more than 20 didates for the Foundation's Postdoctoral Fellow­ semester hours/30 quarter hours, or equivalent, of ships in Science Program. Panels of scientists and study in any of the science fields listed below follow­ engineers appointed by the Research Council will ing completion of their first baccalaureate degree in evaluate applications of all candidates. Final selec­ science. Subject to the availability of funds, new fel­ tion of Fellows will be made by the Foundation, lowships awarded in the Spring of 1981 will be for with awards to be announced in late February 1981. periods of three years, the second and third years These fellowships are designed to provide post­ contingent on certification to the Foundation by the doctoral research and study opportunities to a fellowship institution of the student's satisfactory broader population of scientists by offering two ten­ progress toward an advanced degree in science. ure options: (1) Full-time tenures for those who can These fellowships will be awarded for study or arrange to devote all their effort to the conduct of work leading to master's or doctoral degrees in the a fellowship program; (2) Part-time tenures for those mathematical, physical, biological, engineering, and with family, financial, or such other obligations as social sciences, and in the history and philosophy of may preclude their pursuit of a full-time fellowship science. Awards will not be made in clinical, law, program. Fifty or more full-time and part-time fel­ education, or business fields, in history or social work, lowships will be awarded for research and study in for work leading to medical, dental, or public health the mathematical, physical, biological, engineering, degrees, or for study in joint science-professional and social sciences, in the history and philosophy of degree programs. Applicants must be citizens of the science, and in interdisciplinary areas. Awards will United States, and will be judged on the basis of not be made in clinical, education, or business fields, ability. The annual stipend for Graduate Fellows will nor in history, social work, or public health. be $4,800 for a twelve-month tenure with no depen­ Application may be made by persons who will dency allowances. have earned by the beginning of their fellowship Applicants will be required to take the Graduate tenures a doctoral degree in one of the fields of sci­ Record Examinations designed to test aptitude and ence listed above or have had research training and scientific achievement. The examinations, adminis­ experience equivalent to that represented by a Ph.D. tered by the Educational Testing Service, will be degree in one of those fields, and who will have given on December 13, 1980 at designated centers held the doctorate for no more than five years as of throughout the United States and in certain foreign November 3, 1980. All applicants must be citizens countries. of the United States, and will be judged on the ba­ The deadline date for the submission of applica­ sis of ability. tions for NSF Graduate Fellowships is November 26, The basic stipend for full-time Postdoctoral Fel­ 1980. Further information and application materials lows is $1,150 per month; $575 per month for half­ may be obtained from the Fellowship Office, National time Fellows. A limited travel allowance is also pro­ Research Council, 2101 Constitution Avenue, Wash­ vided. In addition, the National Science Foundation ington, D· C. 20418. - NRC Press Release will provide the fellowship institution, upon request, with a cost-of-education allowance on behalf of the NATIONAL SCIENCE FOUNDATION Fellow to assist the institution in meeting the cost MINORITY GRADUATE FELLOWSHIPS of tuition and fees, and in providing the Fellow with FOR 1981-1982 space, supplies, and equipment. Fellows are also provided a single special allowance of $300 to aid in The National Research Council will again advise defraying costs associated with their research. No the National Science Foundation in the selection of dependency allowance is available. candidates for the Foundation's program of Minority The deadline date for the submission of applica­ Graduate Fellowships. Panels of eminent scientists tions is November 3, 1980. Further information and engineers appointed by the National Research and application materials may be obtained from the Council will evaluate qual·ifications of applicants. Fellowship Office, National Research Council, 2101 Final selection of Fellows will be made by the Constitution Avenue, Washington, D. C. 20418. Foundation, with awards to be announced in March -NRC Press Release 1981. The NSF Minority Graduate Fellowship Program NATIONAL SCIENCE FOUNDATION is open only to persons who are citizens or nationals GRADUATE FELLOWSHIPS FOR 1981-1982 of the United States at the time of application, and The National Research Council will again advise who are members of an ethnic minority group under­ the National Science Foundation in the selection of represented in the advanced levels of the Nation's candidates for the Foundation's program of Graduate science talent pool-i.e., American Indian, Alaskan

544 Native {Eskimo or Aleut), Black, Mexican American/ work, for work leading to medical, dental or public Chicano, or Puerto Rican. health degrees, or for study in joint-science profes­ Eligibility is limited to those individuals who, at sional degree programs. Applicants will be judged the time of application, have not completed more on the basis of ability. The annual stipend for Minor­ than 20 semester hours/30 quarter hours, or equiva­ ity Graduate Fellows will be $4,800 for a twelve­ lent, of study in any of the science fields listed be­ month tenure with no dependency allowances. low following completion of their first baccalaureate Applicants will be required to take the Graduate degree in science. Subject to the availability of funds, Record Examinations designed to test aptitude and new fellowships awarded in the Spring of 1981 will scientific achievement. The examinations, adminis­ be for periods of three years, the second and third tered by the Educational Testing Service, will be years contingent on certification to the Foundation given on December 13, 1980 at designated centers by the fellowship institution of the student's satis­ throughout the United States and in certain foreign factory progress toward an advanced degree in sci­ countries. ence. The deadline date for the submission of applica­ These fellowships will be awarded for study or tions for NSF Minority Graduate Fellowships is work leading to master's or doctoral degrees in the November 26, 1980. Further information and appli­ mathematical, physical, biological, engineering, and cation materials may be obtained from the Fellow­ social sciences, and in the history and philosophy ship Office, National Research Council, 2101 Con­ of science. Awards will not be made in clinical, law, stitution Avenue, Washington, D. C. 20418. education, or business fields, in history or social - NRC Press Release

Second-hand Book and Journal Exchange It has been proposed that the AMS determine pages from books wanted {as many of either per whether there is an interest in a Second-Hand page as one wishes), and the lists made up on Book Exchange at the annual and summer meet­ 8. 5" x 11 " papers. ings. The exchange was tested on a small scale at Please include the information below. the Ann Arbor meeting this past August, and met Books Offered: Name, address, telephone, will with moderate success. or will not be at the meeting. Author, title, pub­ At the Joint Books and Journals display at the lisher, year of publication, condition of book (for Annual Meeting in San Francisco, notebooks will example, slightly used, annotated lightly or heavi­ be available with lists of books on mathematics for ly, like new). Price or books wanted in trade. sale or being sought. There will be separate note­ Books wanted. Name, address, telephone, will books of books for sale and books wanted with or will not be at the meeting. Author, title, pub­ names and addresses of the owners {or seekers). lisher, edition, price one is willing to pay. The details of the transactions themselves would Those who use this service at the meeting will have to be arranged by the participants and the be asked to make suggestions concerning its useful­ AMS will not accept responsibility for settling ness or improvement. If the interest is sufficient, disputes if arrangements go awry. the service will be continued at the next annual Professor Keith Dennis has volunteered to keep meeting, possibly at that time expanded to include the lists for a period of about two months after. lists from libraries seeking replacements for lost the meeting, and to send copies to anyone inter­ out-of-print books and lists from second-hand ested for the cost of copying and mailing. His book dealers. Mathematics, White Hall, address is Department of Please send your lists to: Cornell University, Ithaca, New York 14853. It is necessary to charge a small fee to cover Promotion Department, AMS the cost of preparing the notebooks. Each person P.O. Box 6248, Providence, R.I. 02940 participating is asked to pay $2 for the first page Make checks payable to the AMS. If you have and $1 for each additional page {one side is one questions, call Phoebe Murdock, 401-272-9500, page). Books for sale must be listed on separate extension 237.

545 SPECIAL MEETINGS

THIS SECTION contains announcements of meetings of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the So· ciety, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year and page of the issue in which the complete information appeared. IN GENERAL, announcements of meetings held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadline dates for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All communications on special meetings should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES are listed on the inside front cover of each issue.

1980-1981. ACADEMIC YEAR DEVOTED TO COMMUTATIVE 11. NINTH MIDWESTERN CONFERENCE ON ORDINARY DIFFER­ ALGEBRA AND ITS RELATIONS TO COMBINATORICS, SVZY­ ENTIAL EQUATIONS, University of Illinois, Urbana, GIES AND K-THEORY, The Mittag-Leffler Institute, Illinois. Djursholm, Sweden. (February 1980, p. 186) Speakers: Anton Zettl (Northern Illinois), Lee Rubel (Illinois), Yasutaka Sibuya (Minnesota), 1980. SPECIAL YEAR ON FUNCTIONAL EQUATIONS AND George Sell (Minnesota), Julian Palmore (Illi­ THEIR APPLICATIONS, University of Waterloo, Ontar­ nois), Donald Lutz (Wisconsin-Milwaukee), Po-Fang io, Canada. (February 1980, p. 186) Hsieh (Western Michigan), Charles Fulton (Penn State), Charles Conl~ (Wisconsin-Madison), Shiu­ June 1-December 20. MATHEMATISCHES FORSCHUNGSINSTI­ Nee Chow (Michigan State). TUT OOERWOLFACH (Weekly Conferences), Federal Re­ Information: Steven Bank, Harold Benzinger, or Jul­ public of Germany. (June 1980, p. 366) ian Palmore, Department of Mathematics, 273 Alt­ gel d Hall, University of Illinois, Urbana, Illi­ September 1980-March 1981. NSF CHAUTAUQUA SHORT nois 61801. COURSES FOR NONACADEMIC SCIENTISTS AND ENGINEERS, Polytechnic Institute of New York; Oregon Graduate Center. 11-12. EIGHTH MIDWEST PARTIAL DIFFERENTIAL EQUA-. TIONS SEMINAR, Van Vleck Hall, University of Wis­ ~: American Association for the Advancement --of Science. consin, Madison, Wisconsin. (August 1980, p. 452) Topics: Alternative fuels from an engineering per­ spective, frontiers of neurosciences, immunobi­ 13-15. SYMPOSIUM ON TRANSITION AND TURBULENCE, ology, recent advances in genetics and fetal de­ Mathematics Research Center, University of velopment, mathematical modeling in the biolog­ Wisconsin, Madison, Wisconsin. (November 1979, p. ical sciences, risk-benefit analysis, chemical 487) oceanography, remote sensing of the earth, ad­ vances in coherent optical science and engineer­ 13-15. TWENTY-FIRST ANNUAL SYMPOSIUM ON THE FOUNDA­ ing, and exploratory data analysis. TIONS IF COMPUTER SCIENCE, Sheraton Inn, Syracuse, Program: The aim of the short courses is to enable New York (February 1980, p. 1g1). **The date and 1nv1ted scholars at the frontiers of various location of this meeting have been changed from sciences to communicate recent advances in their those previously listed.** fields directly to college science teachers and science and engineering professionals from indus­ try or other nonacademic settings. The meetings 15-17. RUTISHAUSER SYMPOSIUM ON NUMERICAL ANALYSIS, will take place for two days in the fall and two Zurich, Switzerland. (August 1980, p. 452) days in the spring. Between sessions participants will work on projects related to the course or on 24-25. CONFERENCE ON MEASURE THEORY, Northern Il­ independent study. linois University, DeKalb, Illinois. (April 1980, Information: AAAS Office of Science Education, 1776 p. 289) Massachusetts Avenue, N.W., Washington, D.C. 20036. 24-25. SECOND MIDWEST PROBABILITY COLLOQUIUM, OCTOBER 1980 Northwestern University, Evanston, Illinois. Invited Speakers: S. R. s. Varadhan (New York Uni­ 2-4. MOTIVATIONS, APPLICATIONS, PROBLEMES DANS versity l, S. Ethier (Michigan State), M. Bramson L'ENSEIGNEMENT DES MATHEMATIQUES A L'UNIVERSITE, (Minnesota l. Montpellier, France. (August 1980, p. 452) Information: M. B. Marcus. Department of Mathe­ matics, Northwestern University, Evanston, Illi­ 2-8. CONFERENCE ON APPLICATIONS IF NUMERICAL ANALY­ nois 60201. SIS AND SPECIAL FUNCTIONS IN STATISTICS, Adult Education Center, University of Maryland. (June 25. MIDWEST CONFERENCE ON SEVERAL COMPLEX VARI­ 1980, p. 370) ABLES, University of Toronto, Toronto, Canada. Program: An informal conference on several complex 6-17. INTERNATIONAL FEDERATION FOR INFORMATION variables (one of a series of biannual meet­ PROCESSING CONGRESS, Tokyo, Japan and Melbourne, ings). Likely participants inc·lude D. Catlin, A. Australia. (November 1979, p. 487) Taylor, D. Burns, Jr. Support: Some support is available for hotel and 11. ILLINOIS NUMBER THEORY CONFERENCE, Illinois per diem expenses. State University, Normal, Illinois. Information: Charles Vanden EYnden, Mathematics Information: Thomas Bloom, Department of Mathe­ Department, Illinois State University, Normal, matics, University of Toronto, Toronto, Ontario, Illinois 61761. Canada M5S lAl.

546 27-29. 1980 ASSOCIATION FOR COMPUTING MACHINERY AN­ 12-February 6. TWENTY-FIRST SUMMER RESEARCH INSTI­ NUAL CONFERENCE, Nashville, Tennessee. TUTE OF THE AUSTRALIAN MATHEMATICAL SOCIETY, Uni­ Program: The theme of the conference wf 11 be "Pre­ versi~ of Tasmania, Hobart, Australia. (June 1980, viewing the Computer Age". There will be state­ p. 370) of-the-art technical papers, and expanded exhibit of computing and data communications equipment, FEBRUARY 1981 the 11th ACM North American Computer Chess Champ­ ionship, a varie~ of student activities, and 8-12. CONFERENCE ON ALGEBRA AND GEOMETRY, Kuwa.it special events which will feature or honor the University, Kuwait. (August 1980, p. 453) pioneers in the computing profession. Speakers: Alston S. Householder (University of Ten­ 25-28. NONLINEAR PROBLEMS IN SCIENCE, Rice Univer­ nessee), Alan J. Perlis (Yale University), Saul sity, Houston, Texas. Rosen (Purdue Universi~). Program: This will be an interdisciplinary confer­ Information: Charles Bradshaw, Chairman, ACM 'BO, ence to review recent developments in the solu­ Box 1980, Station B, Nashville, Tennessee 37235, tion of global nonlinear problems in partial dif­ ( 615) 322-2951. ferential equations which arise in several dif­ ferent sciences. The problems together with the NOVEMBER 1980 ideas and techniques used in their solution wfll be presented in a manner accessible to scientists 6-8. SIAM 1980 FALL MEETING, Houston, Texas. (April in all fields which use partial differential 1980, p. 289) equations, and to mathematical experts in partial differential equations. 14-15. FOUNDATIONS: LOGIC, LANGUAGE, AND MATHEMAT­ Topils: Topics will include quantum field theory, ICS, Graduate Center, Ci~ University of New York, re ativi~, inverse problems in geophysics, New York. (June 1980, p. 370) earthquakes and fractures, diffusion and reaction processes in bi o1 ogy and chemistry, and the kin­ DECEMBER 1980 etics of phase transitions. Speakers: A. Jaffe, I. M. Singer, S. T. Yau, R. 1-6. FIRST CONGRESS IF BIOMATHEMATICS, Concepcion, Geroch, N. Bleistein, V. Barcilon, R. Burridge, Chile. (April 1980, p. 289) J. Rice, s. Kauffman, R. Aris, M. Kac, J. B. Kel­ ler, J. Langer, J. L. Lebowitz, and others. 1-12. CONFERENCE ON INTERACTIVE GRAPHICAL MAN­ Information: John C. Polking, Department of Mathe­ MACHINE COMMUNICATION, Nantes, France. (August matics, Rice Universi~, Box 1892, Houston, Texas 1980, p. 452) 77001. 8-13. WORKSHOP ON NONLINEAR EQUATIONS, Mexico City, MARCH 1981 Mexico. Program: There will be about twelve invited lec­ 2-5. TWELFTH SOUTHEASTERN CONFERENCE ON COMBINATOR­ tures on recent developments in the theory and ICS, GRAPH THEORY, AND C()IPUTING, Pleasant Hall, applications of nonlinear equations, as well as Louisiana State Universi~, Baton Rouge, Louisiana. special sessions for contributed thir~-minute ~: There will be daily sessions for contrib­ research papers. ----utea papers together with twice daily instruc- Invited Speakers: D. s. Cohen, F. c. Hoppensteadt, tional lectures by well known lecturers (to be J. B. Keller, K. Kirchgassner, J. E. Marsden, L. announced). Nirenberg, P. H. Rabinowitz, D. H. Sattinger, I. Deadline for Abstracts: February 16, 1981. E. Segal, I. M. Singer, W. A. Strauss. Information: K. B. Reid, Department of Mathematics, Information: Jorge Ize, Instituto de Investiga­ Louisiana State University, Baton Rouge, Loui­ ciones en Matematicas Aplicadas y en Sistemas, siana 70803. Universidad Nacional Autonoma de Mexico, A. P. 20-726, Mexico 20, D.F. 12-13. COMPUTER SCIENCE AND STATISTICS: THE THIR­ TEENTH SYMPOSIUM ON THE INTERFACE, Pittsburgh 12-14. ANNUAL MEETING IF THE CANADIAN MATHEMATICAL Hilton, Gateway Center, Pittsburgh, Pennsylvania. SOCIETY, Vancouver, B.C., Canada. (August 1980, p. 453) Program: There will be seven one-hour 1ectures and about thir~ half-hour lectures by invited speak­ 16-20. INTERNATIONAL CONFERENCE ON CONVEXITY AND ers. There will also be sessions for fifteen­ GRAPH THEORY, University of Haifa; Ben Gurion Uni­ minute presentations of contributed papers. versity of the Negev, Israel. Topics: Ring theory, algebraic and geometric topol­ Information: Joseph Zaks, Department of Mathe­ ogy, probability, algebraic geometry and several matics, Universi~ of Haifa, Haifa 31999, Israel. complex variables, convexity and combinatorial geometry, integrals and derivatives. 18-20. FOURTEENTH ANNUAL SIMULATION SYMPOSIUM, TAM- Principal Speakers: M. Auslander (Brandeis), v. pa, Florida. (August 1980, p. 453) Snaith (Western Ontario), M. Csorgo (Carleton), J. Lipman (Purdue), B. Grunbaum (Washington) and 26-28. INTERNATIONAL CONFERENCE ON SPECTRAL THEORY A. Bruckner (Santa Barbara) have been invited to IF DIFFERENTIAL OPERATORS, Universi~ of Alabama in give hour lectures. Birmingham, Birmingham, Alabama. Information: John J. F. Fournier, Department of Mathemat1cs, #121-1984 Mathematics Road, Univer­ Speakers: Speakers who have accepted i nvi ta ti ons sity Campus, Vancouver, Canada V6T 1Y4. include F. V. Atkinson (Toronto, Canada), W. N. Everitt (Dundee, Scotland), J. Fleckinger (Tou­ 16-19. FOURTH CONFERENCE INTERNAT{ONALE SUR L'ANA­ louse, France), H. Kalf (Darmstadt, W. Germany), LYSE ET L 'OPTIMISATION DES SYST£MES, Versailles, T. Kato (Berkeley), R. M. Kauffman (W. Washing­ France. (June 1980, p. 370) ton), and M. Schechter (Yeshiva). Program: The conference is devoted to recent re­ JANUARY 1981 search in spectral theory of both partial and ordinary differential operators. More invitations 2-8. WINTER RESEARCH INSTITUTE ON GE()IETRIC QUANTI­ to speak will be extended and contributed papers ZATION, Banff, Alberta, Canada. (June 1980, p. 370) will be welcomed. Application for partial support has been submitted to the NSF. 5-8. THIRD CARIBBEAN CONFERENCE ON C()IBINATORICS Information: Ian Knowles or Roger Lewis, Department AND COMPUTING, Universi~ of the West Indies, Bar­ of Mathematics, University of Alabama in Bi rming­ bados. (August 1980, p. 452) ham, Birmingham, Alabama 35294.

547 APRIL 1981 11-15. SECOND AUSTRALASIAN MATHEMATICS CONVENTION, Sydney, Australia. 6-8. ENVIRONMETRICS '81, Washington, D.C. (August Sponsors: Australian Mathematical Socie~. New Zea­ 1980, p. 453) land Mathematical Society. Information: T. M. Gagen, Department of Pure Mathe­ 8-10. 2e CONFERE~E INTERNATIONALE SIR LES SYST~ES matics, Universi~ of Sydney, Sydney, NSW 2006, INFORMATIQUES REPARTIS, Paris, France. (August Australia. 1980, p. 453) 16-23. INTERNATIONAL CONFERENCE ON FUNCTIONAL­ DIFFERENTIAL SYSTEMS AND RELATED TOPICS. II, Kozub­ 21-24. SECOND SOUTHEAST ASIAN CONFERENCE ON MATHE­ nik, Poland. (August 1980, p. 453) MATICAL EDUCATION, Department of Mathematics Uni- versi~ of Malaya, Kuala Lumpur, Malaysia. ' Organizers: Department of Mathematics, University JUNE 1981 of Malaya, Southeast Asian Mathematical Society Malaysian Mathematical Society. ' 8-10. CONFERENCE ON ANALYSING PROBLEM CLASSES AND Program: The program will examine a broad spectrum PROGRAMMING FOR PARALLEL COMPUTING, Nilrnburg, Fed­ of problems in mathematical education at the eral Republic of Germa~. level of sixteen years old and above. Preliminary Information: W. Handler, IMMD, University of Erlan­ plan includes invited addresses, short communica­ gen-NUrnberg, 3 Martenstrasse, D-8520 Erlangen, tions and workshops on relevant topics in mathe­ Federal Republic of Germany. matical education. Deadline for Abstracts: February 28, 1981. 17-19. SECOND INTERNATIONAL CONFERENCE ON THE NU­ Information and Reg1stration: C. K. Lim, Department MERICAL ANALYSIS OF SEMICONDUCTOR DEVICES AND INTE­ of Mathematics, University of Malaya, Kuala Lum­ GRATED CIRCUITS, Dublin, Ireland. pur, Malaysia. Call for Papers: Papers are solicited on a~ topic relevant to the numerical simulation, optimiza­ tion and computer aided design of semiconductor 23-26. RECENT ADVANCES IN NON-COMMUTATIVE RING devices or integrated circuits. The preliminary THEORY: A GEORGE H. HUDSON SYMPOSIUM, State Univer­ version of the paper must be accompanied by a sity of New York, Plattsburgh, New York. separate one-page abstract, and must be submitted Program: Several lecturers including Carl Faith, by March 20, 1981. J. C. Robson, and P. M. Cohn have accepted invi­ Information: NASECODE II Conference, 39 Trinity tations to discuss work which they believe will College, Dublin 2, Ireland. influence the direction associative ring theory will take in the coming years. There will also be 22-27. INTERNATIONAL SYMPOSIUM ON STOCHASTICS AND opportunities for shorter papers. ANALYSIS, TUbingen, West Germa~. Call for Papers: A one-page summary should be re­ ~: Markov processes, diffusions and martin­ ceived by the program committee by February 1, ~s. branching processes, stochastic control, 1981. probabili~ theory on topological vector spaces, Information: P. Fleury, Chairman, G. H. Hudson Sym­ random wa 1 ks on groups and homogeneous spaces, posium, Department of Mathematics, State Univer­ central limit theorem. si~ of New York at Plattsburgh, Plattsburgh, New Program: There wi 11 be 1 ectures of expository na­ York 12901. ture given by distinguished scholars, and infor­ mal sessions for contributed papers. 30-May 1. TWELFTH ANNUAL PITTSBURGH CONFERENCE ON Information: H. Heyer and E. Siebert, Mathe­ M~DELING AND SIMULATION, Universi~ of Pittsburgh, matisches Institut der Universitat Tiibingen, Auf P1ttsburgh, Pennsylvania. (August 1980, p. 453) der Morgenstelle 10, 74 Tubingen, West Germa~. 28-July 5. NINTH INTERNATIONAL CONGRESS ON THE AP­ MAY 1981 PLICATION OF MATHEMATICS IN ENGINEERING, Weimar, German Democratic Republic. (August 1980, p. 453) 11-13. THIRTEENTH ACM SYMPOSIUM ON THEORY OF COM­ PUTING, Milwaukee, Wisconsin. 29-July 10. CURRENT TRENDS IN ALGEBRAIC TOPOLOGY, Sponsor: Association for Computing Machinery The Universi~ of Western Ontario, London, Ontario, Special Interest Group for Automata and Comput­ Canada. (August 1980, p. 453) abili~ Theory. Topics: Topics of interest include analysis of 30-July 2. FOURTH IMACS INTERNATIONAL SYMPOSIUM ON algorithms, automata and formal languages, compu­ COMPUTER METHODS FOR PARTIAL DIFFERENTIAL EQUA­ tational complexity, complexity theory of cryp­ TIONS, Lehigh University, Bethlehem, Pennsylvania. tography, formal semantics and proof theory, mathematical aspects of programming languages, mathematics of computation, theoretical studies Topics: All areas germane to the conference are of computer systems, theory of data bases and solicited. Of special interest are papers on new data structures, theory of parallel and asynchro­ theory for finite difference or finite element nous computation. methods; significant applications of these meth­ ods; new hardware and software applicable to Call for Papers: Authors should specify preference these methods. Submit preliminary manuscript or for short (10-15 minute) or long (20-25 minute) reasonably comprehensive abstract by December 15, presentations. Nine copies of a detailed abstract 1980. (limit five to ten typewritten pages) should be Information: R. S. Stepleman, Computing Technology sent by November 21, 1980, to the Program Chair­ and Services Division, Exxon Research and Engi­ man, Ronald L. Rivest, NE43-804, Massachusetts neering Comfa~. P.O. Box 51, Linden, New Jersey Institute of Technology, 545 Technology Square, 07036, (201 474-3932. Cambridge, Massachusetts 02139. Program Committee: R. DeMillo, D. Dobkin, R. Karp, JULY 1981 L. Landweber, S. Muchnick, c. Papadimitriou, R. Rivest, A. Salomaa, and R. Statman. 19-25. SUMMER MEETING IN CATEGORY THEORY, Cam­ Information: Walter A. Burkhard, Publici~ Chair­ bridge, England. man, SIGACT-81 Symposium, Department of Electri­ Program: The conference will cover research in cal Engineering and Computer Sciences, Universi~ areas of category theory, with particular concen­ of California, San Diego, La Jolla, California tration on areas related to topos theory and cat­ 92093. egorical logic.

548 Su~pl~t: Support is being received from St. John's Program: Building on the 1978 Bad Honnef (FRG) o ege, Cambridge, the Cambridge Philosophical Workshop, the symposi urn focuses on diverse models Society and the London Mathematical Society. Some having a finite number of decision variables but funds will be available to cover travel expenses. where an arbitrary number of parameterized con­ Organizing Committee: P. J. Freyd (Pennsylvania and straints or conditions are present. Abstracts for Cambridge); P. T. Johnstone (Cambridge); A. Kock 30-minute papers are solicited. (Aarhus); c. J. Mulvey (Sussex and Columbia); and Topics: Planning and control in management and A. M. Pitts (Cambridge). economic systems; generalized linear and convex Information: P. T. Johnstone, Secretary of the programming; sensitivity analysis of semi-infin­ Organizing Committee, University of Cambridge, ite systems; engineering design and analysis; Department of Pure Mathematics and Mathematical numerical analysis and computational methods; Statistics, 16 Mill Lane, Cambridge CB2 1SB, En­ variational inequalities and complementarity; ap­ gland. proximation theory, particularly problems gov­ 20-24. EIGHTH BRITISH COMBINATORIAL CONFERENCE, erned by functional equations; and moment prob- Swansea, South Wales. 1 ems in probability and stati sties. Sponsor: British Combinatorial Deadline for Abstracts: 200- to 300-word abstracts Committee. should Information: A. D. Keedwell, Honorary Secretary, be sent to the Program Chairman, s. Zlo­ British Combinatorial bec, athemati cs Department, McGi 11 University, Committee, Department of Montreal Mathematics, University of Surrey, Guildford, llO, Quebec H3A 2K6, Canada, by January Surrey GU2 5XH, Great Britain. 30, 1981. Information: K. 0. Kortanek (General Chairman), AUGUST 1981 Mathematics Department, Carnegie-Mellon Universi­ ty, Pittsburgh, Pennsylvania 15213, or James Vick 3-7. INTERNATIONAL SEMINAR ON FUNCTIONAL ANALYSIS, (Arrangements Chairman), Mathematics Department, HOLOMORPHY AND APPROXIMATION THEORY, Universidade University of Texas, Austin, Texas 78712. Federal do Rio de Janeiro, Brazil. / / Orianizing Committee: G. I. Zapata (Chairman), L. 21-26. JOURNEES ARITHMETIQUES, Metz, France. • Moraes (Secretary), J. A. Barroso, S. Machado, Information: Georges Rhin, Departement de Math6- M. C. Matos, J. Mujica, L. Nachbin, D. Pisanelli matiques, Universite de Metz, Ile du Saulcy, and J. B. Prolla. 87000 Metz, France. Information: Guido I. Zapata, Instituto de Mate­ m&tica, Universidade Federal do Rio de Janeiro, AUGUST 1982 Caixa Postal 1835, 21910 Rio de Janeiro, Brazil. 11-19. INTERNATIONAL CONGRESS OF MATHEMATICIANS, 5-7. 1981 ACM SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC War.saw, Pol and. COMPUTATION, Snowbird, Utah. Host: Institute of Mathematics, Polish Academy of Sponsor: Association for Computing Machinery Sciences. Special Interest Group on Symbolic and Algebraic Information: Czes{aw Olech, Chairman, Organizing Manipulation. Committee, Institute of Mathematics, Polish ToTies: Algebraic computation and symbolic manipu- Academy of Sciences, Sniadeckich 8, P.O. atlon, including data Box 137, structures, design and 00-950 Warszawa, Poland. (See also the News Item, analysis of algorithms, complexity; languages, p. 540 of this issue.) systems, and machine architectures; algebraic, elementary, and transcendental function computa­ tions; computational number, group, and ring LATE ENTRIES theory; interface of numeric and symbolic compu­ OCTOBER 1980 tation methods. Call for Papers: Papers or extended abstracts are 13-15. TWENTY-FIRST ANNUAL SYMPOSIUM due by February 2, 1981. Seven ON FOUNDATIONS copies of the man­ CF COMPUTER SCIENCE, Sheraton Inn-Syracuse, Liver­ uscript (up to 12 double-spaced pages) should be pool, New York. sent to the Program Chairman, Arthur C. Norman, University of Cambridge, Computer Laboratory, Sponsor: Technical Committee on Mathematical Foun­ Corn Exchange Street, Cambridge CB2 3QG, England. dations of Computing, IEEE Computer Society, with Information: B. F. Caviness, Department of Mathe­ the cooperation of Clarkson College. matlcal Sciences, Rensselaer Polytechnic Insti­ Session Chairmen: M. Garey, Bell Laboratories; A. tute, Troy, New York 12181. Selman, Iowa State University; z. Manna, Stanford ll-21. SIXTH INTERNATIONAL CONFERENCE ON MATHEMATI­ University and Weizmann Institute; L. Guibas, CAL PHYSICS, Berlin, Federal Republic of Germany. Xerox PARC; R. Stearns, SUNY at Albany; E. Fried­ Information: R. Seiler, Institut fiir Theoretische man, University of California (Los Angeles). Physik, Freie Universitat Berlin, Arnimallee 3, Information: David Bray, Local Arrangements Chair­ D-1000 Berlin 33, Federal Republic of Germany. man, Department of Electrical and Computer Engi­ neering, Clarkson College, Potsdam, New York 23-28. TENTH CONFERENCE ON STOCHASTIC PROCESSES AND 13676. THEIR APPLICATIONS, Montreal, Canada. Sponsor: The Bernoulli Society. JANUARY 1981 Information: A. Joffe, Centre de recherche de math­ i!'matiques appl iqu€es, Universite de Montrf"al, 6. SYMPOSIUM ON OPERATOR THEORY AND BANQUET IN HON­ Case postale 6128, Montreal, Qu6bec, Canada H3C OR OF PAUL R. HALMOS, University of California 1J7. Berkeley, California. ' Program: The symposium and banquet are being held 30-September 6. NINTH INTERNATIONAL CONFERENCE ON at the time of the AMS Annual Meeting. The Opera­ NONLINEAR OSCILLATIONS, Kiev, USSR. (August 1980, tor Theory Symposium will be held from 10 a.m. to p. 453) 4 p.m. Speakers are D. E. Sara son (Berkeley), chairman; W. B. Arveson (Berkeley); R. G. Douglas 31-September 5. SIXTH CONGRESS OF THE GROUPEMENT (Stony Brook); C. Foias (Indiana); and R. V. Kad­ DES MATHfi-lATICIENS D'EXPRESSION LATINE, Centre Uni­ ison (Pennsylvania). The banquet will be held at versitaire de Luxembourg, Luxembourg. 7 p.m. in the Golden Pavilion Restaurant in San Information: Centre Universitaire de Luxembourg, Francisco. Speakers at the banquet wi 11 be w. Seminaire de Mathematique, 162a, avenue de la Ambrose (M.I.T.), H. Samelson (Stanford) and I. FaYencerie, Luxembourg. Singer (Berke 1ey). Tickets for the banquet are $22.00 per person; checks should be received by SEPTEMBER 1981 December 15, 1980, at the address below. Info~mati?n: Eric Nordgren, Mathematics 8-10. Department, INTERNATIONAL SYMPOSII.J>1 ON SEMI-INFINITE PRO­ Umverslty of New Hampshire, Durham, New Hamp­ GRAMMING AND APPLICATIONS, Austin, Texas. shire 03824. 549 MISCELLANEOUS

Visiting Mathematicians -Supplementary List The following lists of visiting mathematicians include both foreign mathematicians coming to the United States and Can­ ada, and Americans going abroad. The original lists appeared on pages 458-462 of the August 1980 Notices. MATHEMATICIANS VISITING ABROAD Name and Home Country Host Institution Field of Special Interest Period of Visit Baldwin, john (U.S.A.) Hebrew University, Israel Model Theory 9/80- 6/81 Berk, Robert H. (U.S.A.) Tel Aviv University, Israel Statistics 9/80- 6/81 Casselman, William (Canada) University of Paris VII, France Algebraic Geometry; Modular Func- 1/81- 6/81 tion Theory; Infinite-dimensional Representations of Lie Groups Finn, Robert (U.S.A.) University of Bonn, Federal Re- Partial Differential Equations; Fluid 6/80- 8/81 public of West Germany Dynamics; Differential Geometry Fossum, Robert M. (U.S.A.) Mittag-Leffler Institute, Sweden Commutative Algebra 1/81,.... 5/81 Grossman, jerrold W. (U.S.A.) University of Cambridge, England Combinatorics; Algebraic Topology 9/80-12/80 Hahn, L.-S. (U.S.A.) Tokyo University Harmonic Analysis 1/81-12/81 Henle, james M. (U.S.A.) University of the Philippines Combinatorics 6/80- 4/81 Ito, Noboru (U.S.A.) Osaka University, Japan Group Theory 9/80- 3/81 Jones, J. P. (Canada) University of Bristol, United Diophantine Sets 7/80-12/80 Kingdom; Steklov Institute, U.S.S.R.; Tata Institute, India Kurtz, David C. (U.S.A.) Chancellor College, Malawi 9/80- 6/81 Luxemburg, W. A. J. (U.S.A.) University of Tiiblngen, Federal Functional Analysis 5/80-11/80 Republic of Germany Macskasy, Elrod (Canada) Eiitviis Lorand University, Bud a- Applied Mathematics; Non-euclidean 9/80- 8/81 pest, Hungary Geometry Majumdar, S. R. (Canada) Centre of Advanced Study, India Low Reynolds Number Hydrody- 7/80- namics McGehee, Richard (U.S.A.) E.T.H., Zurich Dynamical Systems 9/80- 6/81 Mines, Ray (U.S.A.) University of Essen, Federal Re- Algebra 8/80-12/80 public of Germany Morris, Lockwood (U.S.A.) University of Oxford, England Programming Languages 9/80- 6/81 Palka, Bruce P. (U.S.A.) University of Helsinki, Finland Quasiconformal Mapping 9/80-12/80 Pohl, William (U.S.A.) University of Bonn, Federal Re- Geometry 9/80- 6/81 public of Germany Poland, J. (Canada} University of Warwick; England Group Theory; Logic 9/80- 7/81 Reiner, Irving (U.S.A.) King's College, University of Algebraic Number Theory 8/80- 1/81 London, England Scroggs, james E. (U.S.A.) Cuttington University College, Operator Theory 7/80- 7/81 Liberia Seidman, Thomas I. (U.S.A.) Universitl! de Nice, France Control Theory; Partial Differential 9/80- Equations Sida, D. W. (Canada) University of London, England Calculus Variation and Optimization 6/80- 7/81 Stewart, Patrick N. (Canada) University of Leicester, England Ring Theory 7/80- 6/81 Stone, Marshall H. (U.S.A.) Tata Institute, India Functional Analysis 8/80- 4/81 Sullivan, Francis E. (U.S.A.) Katholieke Universiteit, The Functional Analysis; Computer Sci- 9/80- 8/81 Netherlands ence Tulczyjew, W. M. (Canada) Institute of Mathematical Physics, Geometric Foundations of Mathemati- 7/80-12/80 Turin, Italy cal Physics Warga, jack (U.S.A.) Tel Aviv University, Israel Optimal Control Theory 1/81- 6/81 Wellner, Jon (U.S.A.} University of Munich, Federal Probability 8/80- 7/81 Republic of Germany Wilson, W. Stephen (U.S.A.) Osaka City University, japan Algebraic Topology 1 0/80 -11/80 Tata Institute, India 1/81- 2/81 Hebrew University, Israel 3/81- 5/81

sso VISITING FOREIGN MATHEMATICIANS

Name and Home Country Host Institution Field of Special Interest Period of Visit Abrahamson, David (Ireland) Rensselaer Polytechnic Institute Computer Science 8/80- 6/81 Balasubramanian, R. (India) Institute for Advanced Study Analytic Number Theory 9/80- 4/81 Ballman, Werrier (Federal Re- University of Pennsylvania Differential Geometry 7/80- 6/81 public of Germany) Barzilai, Jonathan (Israel) University of Texas, Austin Optimization 9/80- 5/81 Beazer, R. (Scotland) University of Calgary Lattice Theory; Universal Algebra 9/80-12/80 Benenti, S. (Italy) University of Calgary 1/81 - 2/81 Boland, Philip J. (Ireland) Florida State University Functional Analysis 9/80- 6/81 Bourguignon, J. P. (France) Stanford University Differential Geometry 7/80-12/80 Brutman, L. (Israel) University of Texas, Austin Approximation Theory 10/80- Butler, Ronald W. (England) University of Texas, Austin Statistics 9/80- 5/81

Casal, Alfonso (Spain) Brown University Ordinary and Functional Differential 9/80- 6/81 Equations Chang, Yang-chun (People's University of Texas, Austin Fourier Series 9/80- 8/81 Republic of China) Chawla, M. M. (India) New Mexico State University Numerical Analysis 8/80- 5/81 Chen, Zhi-hau (Taiwan) Stanford University Several Complex Variables 9/80- 6/82 Christie, ian (Scotland) University of Pittsburgh Numerical Analysis 9/80- 8/81 Clark, Keith (England) Syracuse University Logic Programming 9/80-12/80

Daboussi, Hedi M. (France) Univeristy of Illinois, Urbana Number Theory 8/80-12/80 Dacorogna, Bernard Brown University Partial Differential Eq uatioils 9/80- 7/81 (Switzerland) Dalenius, Tore (Sweden) Brown University Probability and Statistics 9/80- 8/83 Dixon, Charles (Scotland) New Mexico State University Numerical Analysis 8/80- 5/81 Donaldson, Thomas (Australia) University of Illinois, Urbana Partial Differential Equations 3/81 -12/81 Donev. Ron A. (England) University of British Columbia Probability and Statistics 9/80- 6/81

Eades, Peter (Australia) Louisiana State University Computational Combinatorics 1/81- 5/81 Eagles, Peter M. (England) Rensselaer Polytechnic Institute Fluid Mechanics 8/80- 6/81 Eastwood, Michael G. Institute for Advanced Study Several Complex Variables; Twistor 9/80- 4/81 (England) Theory Eisner, L. (Federal Republic University of Calgary Matrix Theory 8/80- 4/81 of Germany) Emsalem, Jacques (France) Northeastern University Algebraic Geometry 9/80-12/80

Falkovitz, Meira (Israel) Rensselaer Polytechnic Institute Applied Mathematics 9/80- 6/81 Fengsu, Chen (People's Re- Brown University Bubble Dynamics 10/80- 9/82 public of China) Fitzpatrick, Simon P. University of Illinois, Urbana Functional Analysis 8/80- 5/81 (Australia)

George, E. Olusegun (Nigeria) University of Rochester Statistics 8/80- 7/81 Goutziers, C. J. (The Nether- University of Illinois, Urbana Number Theory 1/81- 5/81 lands) Graffi, Sandra (Italy) Johns Hopkins University Mathematical Physics 7/80- 6/81 Gumm, H. Peter (Federal Re- University of Hawaii Universal Algebra 8/80- 7/81 public of Germany) Gutierrez, Angel (Spain) University of Minnesota Harmonic Analysis 8/80- 6/81

Hall, Richard R. (England) University of Texas, Austin Analytic Number Theory 1/81 - 5/81 Happel, Dieter (Federal Carleton University 9/80- 1/81 Republic of Germany) Haydon, Richard (England) University of Texas, Austin Banach Space Theory 9/80- 5/81 Hid a, Haruzo (Japan) Institute for Advanced Study Number Theory 9/80- 4/81 Hokstad, Per (Norway) University of Wisconsin, Madison Statistics 8/80- 8/81

551 Name and Home Country Host Institution Field of Special Interest Period of Visit

Hsiao, Ling (People's Brown University Non-linear Partial Differential Equa· 7/79- 6/81 Republic of China) tions and Applications II an, Eshel (Israel) Stanford University Population Genetics 6/80- 6/81 Ishihara, Toru (Japan) University of Illinois, Urbana Differential Geometry 10/80- 7/81

Jost, Jiirgen (Federal Republic Institute for Advanced Study Differential Geometry 9/80- 4/81 of Germany) Kall, Peter (Switzerland) University of British Columbia Stochastic Programming 1/81 - 6/81 Kamae, Teturo (Japan) Northeastern University Ergodic Theory 4/81- 6/81 Kannai, Yakar (Israel) University of Minnesota Economics; Analysis 12/80- 3/81 Kariya, Takeaki (Japan) University of Pittsburgh Statistics 8/80- 8/81 Kenku, Monsur A. (Nigeria) Institute for Advanced Study Algebraic Number Theory 9/80- 4/81 Kirchgassner, Klaus (Federal Brown University Stability and Bifurcation 1/81- 2/81 Republic of Germany) Klein, Abraham A. (Israel) University of Texas, Austin Ring Theory 9/80- S/81 Kono, Norio (Japan) University of Minnesota Probability 9/80- 6/81 Koschorke, Ulrich (Federal Institute for Advanced Study Differential Topology; Homotopy 9/80- 4/81 Republic of Germany) Theory Kowalski, Robert (England) Syracuse University Logic Programming 1/81- S/81 Kumar, Rajendra (Australia) Brown University Stochastic Control 9/80- 6/81 Kurihara, Akira (Japan) Institute for Advanced Study Automorphic Functions 9/80- 4/81

Laursen, Kjeld (Denmark) University of Minnesota Functional Analysis 9/80-12/80 Leviatan, D. (Israel) California Institute of Technology Analysis; Approximation Theory 9/80- 7/81 Li, Bing Ren (People's University of Pennsylvania Functional Analysis 7/80- 6/81 Republic of China) Li, Cai·Zhong (People's Brown University Partial Differential Equations 8/80- 7/81 Republic of China) Li, Zhao-Hua (People's Brown University Theory of Differential Equations 9/80- 8/81 Republic of China) Liu, Ming·Chit (Hong Kong) Institute for Advanced Study Analytic Number Theory; Approxi· 9/80-12/80 mation Theory Lu, Chien·ke (People's University of Texas, Austin Differential Equations 9/80- 2/81 Republic of China) Lysko, Janusz (Poland) Catholic University of America 9/80- 8/81

Majumdar, Dibyen (India) University of Illinois, Chicago Statistics 9/80- 6/81 Circle Meeks, William H., Ill (Brazil) Institute for Advanced Study Minimal Surfaces; Topology 9/80-12/80 Miatello, Roberto J. (Brazil) Institute for Advanced Study Harmonic Analysis on Semisimple 9/80- 4/81 Lie Groups Montes, Alejandro (Mexico) University of Texas, Austin Analysis 8/80- 6/81 Mukhopadhyay, S. N. (India) University of British Columbia Analysis 9/80- 8/81

Nagnur, B. N. (India) Carleton University Statistics 9/80- 8/81 Nakamura, Akira (Japan) Clarkson College of Technology Nonlinear Phenomena; Soliton Theory 8/80- 7/81 Neveln, Robert C. (Virgin University of Texas, Austin Automatic Theorem Proving 8/80- S/81 Islands) Ninomiya, Nobuyuki (Japan) University of Illinois, Urbana Potential Theory 8/80-11/80 Noguchi, J unjiro (Japan) Institute for Advanced Study Function Theory in Several Complex 9/80- 4/81 Variables

Pacut, Andrej (Poland) Brown University Mathematical Modelling; Stochastic 9/80- 7/81 Sysiems- Pallesen, Lars (Denmark) University of Wisconsin, Madison Statistics 9/80- 1/81 Palmeira, Carlos F. B. (Brazil) Institute for Advanced Study Differential Topology; Foliations 9/80-12/80 Parenti, Cesare (Italy) University of Illinois, Chicago Differential Equations 9/80- 6/81 Circle Pethe, S. (Kuala Lumpur) University of Calgary Approximation Theory 9/80- S/81

552 Name and Home Country Host Institution Field of Special Interest Period of Visit

Popescu, Dorin M. (Romania) Institute for Advanced Study Approximation Theory; Algebraic 9/80- 4/81 Varieties Prasad, Gopal (India) Institute for Advanced Study Semi-simple Algebraic Groups 9/80- 4/81 Prime, Mirko (Yugoslavia) Institute for Advanced Study Representation Theory of Semi· 9/80- 4/81 simple Lie Groups

Ramachandran, D. (India) Institute for Advanced Study Probabilistic Measure Theory 9/80- 4/81 Recio, Tomas (Spain) University of New Mexico Algebraic Geometry 8/80- 1/81 Remmert, Reinhold (Federal Institute for Advanced Study Several Complex Variables 9/80-12/80 Republic of Germany) Richter, Michael (Federal University of Texas, Austin Automatic Theorem Proving 1/81 - 5/81 Republic of Germany) Rl nott, Yosef (Israel) Stanford University Population Genetics 7/80- 6/81 Rolletschek, Heinrich (Austria) Rensselaer Polytechnic Institute Mathematical Logic; Theory of Com- 9/80- 6/81 putation Rybakowski, Krzysztof (Federal Brown University Differential Equations 4/80- 3/81 Republic of Germany)

Sarath, B. (Iran) University of Calgary Ring Theory 9/80- 4/81 Schmidt, Asmus L. (Denmark) Institute for Advanced Study Number Theory 9/80- 4/81 Schonhelm, J. (Israel) University of Calgary Combinatorial Analysis 8/80- 7/81 Schramm, Ruben (Israel) Johns Hopkins University Differential Geometry; Mathematical 7/80- 6/81 Instruction Schwermer, Joachim (Federal Institute for Advanced Study Automorphic Forms; Number Theory 9/80- 4/81 Republic of Germany) Scourfield, Eira J. (England) Institute for Advanced Study Analytic Number Theory 1/81 - 4/81 Shinoda, Juichi (Japan) University of Illinois, Urbana Recursion Theory 9/80- 6/81 Shu, Wu-Chang (People's University of Pennsylvania Functional Analysis 7/80- 6/81 Republic of China) Sinha, Bimal K. (India) University of Pittsburgh Statistics 8/80- 8/81 Sinha, Sri Rama (India) University of Kentucky, Summability Theory; History of 3/80- 1/81 Lexington Hindu Mathematics Sparrow, Colin (England) Brown University Dynamical Systems 9/80- 6/81 Spezamiglio, Adalberto (Brazil) Brown University Ordinary Differential Equations 9/80- 8/82 Strebel, Kurt (Switzerland) University of Minnesota Complex Analysis 9/80-10/80 Strebel, Ralph (Switzerland) University of Illinois, Urbana Group Theory 8/80- 5/81 Subramanyam, Kasala University of Pittsburgh Statistics 8/80- 8/81 (Tanzania) Sulinski, Adam (Poland) University of British Columbia Ring Theory 7/80- Sun, Guofang (People's Brown University Solid Mechanics 2/80- 1/81 Republic of China) Swarup, Gadde A. (India) Institute for Advanced Study Topology 9/80- 4/81 Szarek, Stanislaw Jerzy (Poland) University of Illinois, Urbana Functional Analysis 8/80- 5/81

Taira, Kazuakl (Japan) Institute for Advanced Study Semi-groups and Boundary Value 9/80- 4/81 Problems Takeuchi, Mitsuhiro (Japan) Institute for Advanced Study Algebra 9/80- 4/81 Tholen, Walter (Federal University of British Columbia Categorical Topology 8/80-12/80 Republic of Germany) Tsushima, RyiJji (Japan) Institute for Advanced Study Algebraic Geometry; Automorphic 9/80- 4/81 Functions Ventura, Aldo (Brazil) Brown University Functional Differential Equations 9/80- 8/81 Viola, Carlo (Italy) Institute for Advanced Study Number Theory 9/80- 4/81 Von Golitschek, Manfred University of Texas, Austin Approximation Theory 1/81- 6/81 (Federal Republic of Germany) Wan, Zhe-Xian (People's Institute for Advanced Study Group Theory 9/80-12/80 Republic of China)

SS3 Name and Home Country Host Institution Field of Special Interest Period of Visit

Weinitschke, Rubertus J. University of British Columbia Elasticity: Plate and Shell Problems 7/80-12/80 (Federal Republic of Germany) Wojtaszczyk, P. (Poland) University of Texas, Austin Banach Space Theory 1/81- 5/81 Wong, Bun (Hong Kong) johns Hopkins University Differential Geometry, Complex 7/80- 6/81 Analysis Wu, Li·De (People's Republic Brown University Probability and Pattern Recognition 7/80- 6/81 of China) Yu, Van-Lin (People's University of Pennsylvania Geometry; Topology 7/80- 6/81 Republic of China) Zhong, Jia-ging (Taiwan) Stanford University Several Complex Variables 9/80- 6/82 Zhou, Hong-Xing (People's University of Maryland, Baltimore Control Theory 4/80- 6/82 Republic of China) County

Personal Items Norman S. Free of Rensselaer Polytechnic Insti­ tute has been appointed Professor Emeritus at that Yousef Alavi has been chosen as the first recip­ institution. ient of Western Michigan University's new Distin­ B. A. Fusaro of Salisbury State College will spend guished Service Award. 1980-1981 as adjunct professor at the Department Dennis G. Ambuehl of Iowa State University has of Environmental Engineering Sciences, University of been appointed a numerical analyst for the Depart­ Florida, Gainesville. ment of Defense at Fort George Meade, Maryland. Patrick M. Gilmer of Yale University has been Steven E. Anacker of Idaho State University has appointed to an assistant professorship at Louisiana been appointed to an assistant professorship at State University. Louisiana State University. Evarist Gine of the Universidad Aut6noma de Beth Barron of Emory University has been Barcelona has been appointed to an associate pro­ appointed to an assistant professorship at Oakland fessorship at Louisiana State University. University. Martin Golumbic of the Courant Institute of R. H. Bing of the University of Texas received Mathematical Sciences has accepted an appointment an honorary degree from Kenyon College in May at Bell Laboratories in West Longbranch, New Jersey. 1980. David Isaacson of Rutgers University has been Paul Blanchard of the University of Southern appointed to an assistant professorship at Rensselaer California has been appointed to an assistant profes­ Polytechnic Institute. sorship at Boston University. Daniel Thomas Joyce of Villanova University Ed.mond D. Cashwell of Los Alamos Scientific has been appointed to an instructorship at that insti­ Laboratory, recently received a Distinguished Per­ tution. formance Award from that institution. Vadim Komkov has been appointed professor Lane Clark of the University of New Mexico and chairman of the Department of Mathematics at has been appointed to an assistant professorship at West Virginia University. Louisiana State University. Earl E. Lazerson of Southern Illinois University, Michael Cohen of Harvard University has been Edwardsville, has been named president of that appointed to a research assistant professorship at institution. Boston University. Edith H. Luchins of Rensselaer Polytechnic Ronald R. Coifman of Washington University Institute has been appointed a Danforth Associate has been appointed to a professorship at Yale Uni­ for a six-year term. versity. E. L. May of Salisbury State College will spend Charles N. Delzell of Stanford University has 1980-1981 as visiting associate professor at Wake been appointed to an assistant professorship at Forest University. Louisiana State University. John McFall of the University of Waterloo has James K. Deveney of Virginia Commonwealth been appointed to an assistant professorship at University has been appointed to a visiting associate Boston University. professorship at Louisiana State University. Diane Meuser of Johns Hopkins University has Richard C. DiPrima was recently awarded the been appointed to an assistant professorship at 1980 William H. Wiley Distinguished Faculty Award Boston University. at Rensselaer Polytechnic Institute. Alan Newell of Clarkson College of Technology Cornelius J. Everett, Jr., of Los Alamos Scientific has been appointed to a visiting professorship at Laboratory recently received a Distinguished Per­ Rensselaer Polytechnic Institute for the 1980-1981 formance Award from that institution. academic year.

554 Hae Soo Oh of the University of Michigan, Ann Rich; University of Missouri, Columbia: James A. Arbor, has been appointed to an assistant professor­ Huckaba. ship at Louisiana State University. To Associate Professor and Associate Chairman. Walter M. Patterson Ill, Deputy Director of University of Missouri, Columbia: Ira J. Papick. Studies and Analysis, Military Airlift Command, has To Associate Professor. Oakland University: been appointed associate professor of mathematics Jerrold W. Grossman; Temple University: John at Lander College. Paulos. Harry Pollard of Purdue University will be the To Staff Associate. New York Life Insurance Visiting Distinguished Professor at California State Company: Ellen Torrance. University, Chico, during the fall Semester. E. E. Posey of the University of North Carolina, Deaths Greensboro, has returned to teaching and research after serving sixteen years as head of the department Joel M. Alperin of Scranton, Pennsylvania, died of mathematics. on February 12, 1980 at the age of 57. He was a John C. Quigg, Jr., of Drexel University has member of the Society for 26 years. been appointed to an assistant professorship at Thomas L. Austin of Reston, Virginia, died on Villanova University. February 3, 1980 at the age of 51. He was a mem­ Emilio 0. Roxin of the University of Rhode ber of the Society for 20 years. Island is on sabbatical leave visiting the University Donald G. Brennan of the Hudson Institute died of California, Berkeley, during the fall semester. on April 18, 1980 at the age of 56. He was a mem­ Cora S. Sadosky of Caracas, Venezuela, has ber of the Society for 24 years. been appointed to an associate professorship at Francis P. Callahan of Pennsylvania State Univer­ Howard University. sity died on July 2, 1980 at the age of 55. He was a Richard B. Sher of the University of North member of the Society for 29 years. Carolina, Greensboro, has been appointed head of Buchanan Cargal of Fort Walton Beach, Florida, the department of mathematics. died on August 11, 1980 at the age of 57. He was a member of the Society from 1953 to 1970. Robert Sidman of the University of South­ David Roy Davis of St. Petersburg, Florida, died western Louisiana has been appointed to a visiting on May 20, 1980 at the age of 87. He was a member· associate professorship at Rensselaer Polytechnic Institute for the spring semester of the 1980-1981 of the Society for 53 years. academic year. Dr. Calvin C. Elgot of the IBM Watson Research Sri Rama Sinha is visiting the University of Center died on July 8, 1980 at the age of 58. He Kentucky, Lexington, until January 1981. was a member of the Society for 31 years. Charles H. Voas of the University of Virginia James S. Elston of Winter Park, Florida, died on has been appointed to a Gibbs Instructorship at April 14, 1980 at the age of 91. He was a member Yale University. of the Society for 54 years. Helena Wisniewski has been appointed to an Professor James F. Gray of St. Mary's University assistant professorship in the Computer and Decision died on June 4, 1980 at the age of 58. He was a Sciences Department at Seton Hall University. member of the Society for 22 years. Kazimierz Kuratowski of Warsaw, Poland, died on June 18, 1980. (See page 540.) PROMOTIONS Professor Hubert H. Schneider of the University To Professor. Boston University: Thomas of Nebraska, Lincoln, died on July 4, 1980 at the Hawkins; Oakland University: Vel Chiang Wu; age of 54. He was a member of the Society for 22 Temple University: Orin Chein, Eli Passow, Michael years.

CBMS REGIONAL CONFERENCE compact groups, Examples-spherical harmonics, The SERIES IN MATHEMATICS general theory of spherical functions, Fourier and (Supported by the National Science Foundation) Plancherel transforms, Extension of the Plancherel transform, The subtleties of harmonic analysis, Differ­ SPECIAL FUNCTIONS AND LINEAR ential. properties of spherical functions on Lie groups, REPRESENTATIONS OF LIE GROUPS Spherical functions on semisimple Lie groups, More by jean Dieudonne on SL(2,R), Automorphic functions, Groups of iso­ Contents: Introduction, Representations of metries and Bessel functions, Other special functions. SU(2), The general theory of linear representations of Number 42, iii + 59 pages (soft cover) List price $8.40, individual $4.20 compact groups, Lie theory of representations of ISBN G-8218-1692-6; LC 79·22180 compact connected Lie groups, Induced representa­ Publication date: january 1980 tions of compact groups, Spherical functions on To order, please specify CBMS/42 K

Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901.

555 AMS REPORTS AND COMMUNICATIONS

AN INTERIM REPORT The session for contributed ten-minute papers TO MEMBERS OF THE SOCIETY was chaired by WilliamS. Eberly. Public Cryptography Study Group The MAA speakers and their titles were: DONALD W. BUSHAW, Washington State University, Minimal For years, engineers and physicists have been competencies, maximal confusion, and mean people; accustomed to the fact that their research may have LARRY RUNYON, Shoreline Community College, direct economic, industrial, and even national secu­ Cold calculating conservation; and ALFRED B. rity implications. With the wide spread use of com­ WILLCOX, Executive Director of the MAA, Mathe­ puters, this may now be true of certain areas in matics: Where are we going? What mathematics mathematics. Professor R. C. Buck, who is the AMS educators can do about it. The MAA program in­ representative on the recently formed Public Cryp­ cluded a panel discussion titled Mathematical services tography Study Group, reports that this topic may provided for our students and moderated by Howard become one of the important issues examined by E. Zink. The participants were Vernon R. Hood, the committee in its future meetings. The ethics of Nickola Nickoloff, and Theodore White. publication is also a consideration. As a hypothet­ The SIAM program included a special session on ical example, should the editor accept a mathemati­ Computational methods in optimization. The cal article which analyzes the algorithm that is used speakers were S. P. S. Bhatia, Peter Andries Frick, by the Bank of America to protect its customer de­ Alan G. Gibbs, Sam Jacobi, J. Kwolik, and R. R. posits from unauthorized entry, but which also con­ Mohler. tains a theorem that permits anyone owning an Local arrangements were handled superbly by APPLE II computer to bypass this protection and W. Frederick Cutlip. gain entry? In engineering fields, such situations Kenneth A. Ross have been avoided in part by strict codes of profes­ Eugene, Oregon Associate Secretary sional ethics which require anyone to treat confiden­ tial information with due care; in such areas as these, disclosure of industrial or governmental secrets in 1980 SUMMER RESEARCH INSTITUTE publications is a rare event which would lead to OPERA TOR ALGEBRAS AND APPLICATIONS strong professional censure. Whether such policies can be implemented in mathematics is one topic that The twenty-eighth Summer Research Institute, may be discussed by the Study Group. At present, sponsored by the Society, was held on the campus there is no set deadline for its final report. at Queen's University, Kingston, Ontario, from July 14 to August 2, 1980. The topic of the institute was proposed by members of the AMS Committee on Summer Institutes which, at the time, consisted Reports of Meetings of Robert Gilmer, Robion Kirby, Peter Ney, Robert Osserman, Ralph Showalter, and Joseph L. Taylor THE JUNE MEETING IN ELLENSBURG (chairman). The Organizing Committee included The seven hundred seventy-eighth meeting of the Ronald G. Douglas, Edward G. Effros, Richard V. American Mathematical Society was held at Central Kadison (chairman), Robert T. Powers, Lajos Pukans­ Washington University in Ellensburg, Washington, on zky, and E. James Woods. The institute was sup­ Friday and Saturday, june 20-21, 1980. The meeting ported by a grant from the National Science Founda­ was held in conjunction with sectional meetings of tion. the Mathematical Association of America (MAA) and This institute was the first conference in thir­ the Society for Industrial and Applied Mathematics teen years to cover the entire subject of operator (SIAM). There were 66 registrants, including 27 algebras and their applications. The primary aim was members of the Society. to keep the area, which has grown so diverse and By invitation of the Committee to Select Hour vital in the intervening years, a unified scientific Speakers for Far Western Sectional Meetings, an in­ activity. This goal was sought by devoting the longer vited one-hour address was given by DAVID G. lectures of the program to advanced surveys of major CANTOR of the University of California, Los portions of the field, and by using fifteen-minute an­ Angeles. He spoke on Some applications of trans­ nouncements to describe recent contributions. finite diameter to number theory and was introduced During the first week the topic of C*-algebras in re­ by james H. jordan. An hour address at the banquet lation to the emerging theory of "noncommutative Friday evening was jointly sponsored by the AMS algebraic topology" was surveyed, and at the end of and MAA. The speaker was HUGH BURKHARDT, that week C*-dynamical systems, tensor products, Shell Centre for Mathematics Education, Nottingham, crossed products and duality, and nuclearity were England; he spoke on England's experience with studied. The second week opened with the topic of problem solving curricula: how it has affected the group representations and operator algebras; Jordan way we teach mathematics. structure, states, state spaces and representations

556 followed. The week concluded with a survey of develop· The Council established a committee to recom­ ments in cohomology of operator algebras, deriva­ mend ways and means by which the Society might tions and perturbations. and unbounded derivations. be of service to mathematicians in developing coun­ The third week began with the exciting recent inter­ tries. relation between differential geometry and operator The Council adjourned at 6:10p.m. algebras; noncommutative differential geometry and differential topology seem to be well underway; and the topic of noncommutative ergodic theory followed Business Meeting this opening. The program concluded with a descrip­ The Business Meeting was held on August 21, tion of the relatively new field of algebras of un­ 1980 at 5:00p.m. in the Rackham Lecture Hall on bounded operators, and then the applications of the campus of the University of Michigan. President operator algebras to quantum statistical mechanics Peter D. Lax was in the chair. and quantum field theory. The Secretary announced that the slate of can­ Altogether, eighteen ninety-minute lectures didates for the election of 1980 was complete. In were delivered in the morning sessions; these were the contested position, there are two candidates for advanced surveys of broad, active, important areas of one position as vice-president, namely the subject. The forty-five minute lectures delivered in the afternoons {of which there were twenty-four) Paul R. Halmos Murray H. Protter focused on special aspects of the longer lectures but and ten candidates for five positions of member-at· were, nevertheless, expository in nature. Five one­ large of the Council, namely half hour lectures were delivered on Friday afternoons Bernard H. Aupetit Yadim Komkov and were still more special in scope, but general in Donald L. Burkholder 0. Carruth McGehee accessibility. Fifteen-minute announcements closed Eugenio Calabi Paul J. Sally, Jr. most afternoon sessions; thirty-seven of these were Alan J. Hoffman Michele Yergne previously planned, while twenty-three were organ­ Linda Keen Scott W. Williams. ized during the institute. They consisted largely of brief statements of important new results and, on The Secretary directed attention to the new pro­ occasion, short indications of proofs. cedure for obtaining a replacement ballot, as detailed in the August issue of the A total of 217 mathematicians registered for Notices on p. 440 and re­ peated in the current issue on p. 525. the institute; of these, 29 were accompanied by some When the meeting was member(s} of their family for at least part of the opened to new business, time. Eighteen countries not in North America were Professor Anatole Beck offered a procedural motion represented by the following numbers of participants: calling for a resolution to be placed on the agenda of the Business Meeting of Norway {6), France (23}, Japan (18), Scotland (4), January 1981, to be West Germany {14}, Switzerland (3}, Denmark (8}, acted on "in case the Society shall not have discon­ Italy (3), England (8}, Brazil (1 }, Netherlands (2), tinued the publication of the translated edition of Israel (1 ), Romania (4}, Poland (2), Australia (1 ), Math. Sbornik prior to the beginning of that annual lceland(1 }, Hong Kong (1 ), and Belgium {2). meeting". The resolution in question stated "that As with previous summer research institutes, it is the urgent will of the membership of the Amer­ . the Society will publish formal proceedings in the ican Mathematical Society as manifested through the series Proceedings of Symposia in Pure Mathematics, Business Meeting that the Trustees of the Society which will include papers by most of the speakers. forthwith do everything necessary and sufficient to discontinue the publication of the translated edition THE SUMMER MEETING IN ANN ARBOR of Math. Sbornik". The form of the resolution fol­ lows the pattern established in Article X, Section 1 The report of the mathematical portion of this meeting will appear in a later issue of the Notices. of the bylaws. The Secretary explained that the Council had Council Meeting already requested the President to seek clarification The Council met on August 19, 1980 at 4:00 p.m. of the issue which gave rise to Professor Beck's in the Vandenberg Room of the Michigan League on motion, namely the apparent exclusion of Jewish the campus of the University of Michigan. President authors from the pages of Mat. Sbornik, that the Peter D. Lax was in the chair. President's letters of inquiry had not yet been an­ The Council established the principle that the swered, and that the Council had requested the Society shall have the right of first refusal on pro­ Trustees, in the absence of satisfactory clarification, ceedings of events sponsored by the Society. This to seek to renegotiate the contract for translation to policy is to be promulgated by the Executive Direc­ exclude Mat. Sbornik. The Trustees considered the tor for grant-supported events, by the Associated issue at their meeting of May 1980 and will do so Secretaries for special sessions, and by any commit­ again in November 1980. tees which sponsor events. The motion of Professor Beck was debated at The Council asked the Program Committee to length, both the procedural portion before the house organize a panel discussion at the Annual Meeting of and the substantive portion contained in it. The 1981 on the question of the Society's discontinuing motion was defeated. the translation of Mat. Sbornik. The meeting adjourned at 6:10 p.m.

557 Recent Appointments Mathematics for Disadvantaged Groups by President Peter D. Lax. The other members of the committee are Manuel P. Berriozabal (1982), Lenore Blum (1980), Gloria F. Gilmer (1982), Richard K. Lashof Committee members' terms of office on standing committees expire on December 31 of the year (1981 ), and Choy-Tak Taam (1981). given in parentheses following their names, unless Stuart Antman (1983), M. D. Kruskal (1983), otherwise specified. Louis Nirenberg (1983), Alex Rosenberg (1983), Max M. Shiffer (1983), and Gail S. Young (1983) have been appointed to the Committee on Steele Hyman Bass (1984), Felix E. Browder (1984), Prizes by President Peter D. Lax, who has also and Frederick W. Gehring (1984) have been appointed appointed Professor Young chairman of the commit­ by President Peter D. Lax to the Science Policy Com­ tee. Continuing members of the committee are mittee. Continuing members of the committee are Robin Hartshorne (1982), Reuben Hersh (1982), Richard D. Anderson, chairman (1981 ), Andrew M. Henry 0. Pollak (1981 ), and Gian-Carlo Rota (1981 ). Gleason (1983), Herbert B. Keller (1983), Brockway expire on June 30 of the McMillan (1980), George D. Mostow (1983), Ralph Terms on this committee year given. S. Phillips (1983), Linda Preiss Rothschild (1983), I. M. Singer (1980), James D. Stasheff (1983), Elias President Peter D. Lax has appointed Hugh L. M. Stein (1983), and Hans F. Weinberger (1983). Montgomery (1981) as chairman of the Program Committee for National Meetings, effective January Bernard Mas kit (1981) has been appointed chair­ 1981. Other members of the committee are George man of the Committee on Postdoctoral Fellowships D. Mostow (1981 ), Donald S. Ornstein (1980), by President Peter D. Lax. Other members of Barbara L. Osofsky (1980), Everett Pitcher (ex the committee are Benedict Gross (1982), Robin officio), J. H. Sampson (1982), and Barry Simon Hartshorne (1981 ), Robert I. Soare (1982), William (1982). P. Thurston (1980), and Karen Uhlenbeck (1980). C. Edmund Burgess (AMS, 1983) has been ap­ Israel Berstein (1983), David G. Ebin (1983), and pointed by President Peter D. Lax to the AMS-MAA­ Melvyn Nathanson (1983) have been reappointed by SIAM }oint Projects Committee for Mathematics. President Peter D. Lax to the AMS Subcommittee of Other members of the committee, with their affilia­ the joint AMS-IMS Committee on Translations from tions, are Felix E. Browder (AMS, 1981 ), Wendell H. Russian and Other Foreign Languages. The continuing Fleming (AMS, 1982), Donald L. Kreider, chairman AMS Subcommittee Members of this committee are (MAA, 1981 ), Gottfried E. Noether (MAA, 1982), Ronald G. Douglas, chairman (1982), Eugene B. Seymour V. Parter (SIAM, 1981 ), and Werner C. Dynkin (1981 ), Solomon Feferman (1982), Frederick Rheinboldt (SIAM, 1982). Terms of office on this P. Gardiner (1982), John B. Garnett (1982), Victor committee expire on September 30 of the year given. Kac (1981 ), Nicholas D. Kazarinoff (1981 ), and Katherine L. Pedersen, Joel E. Schneider, and Arthur H. Stone (1982). Terms on this committee Barbara Searle have been appointed by President expire on September 30 of the year given. Shirley Hill of the National Council of Teachers of Donald C. Rung (AMS, 1984), and James Daniel Mathematics to the joint AMS-MAA-NCTM-5/AM (SIAM, 1983), have been appointed by Presidents Committee on Women in Mathematics. Continuing Peter D. Lax and Richard C. DiPrima to the joint members of the committee and their affiliations are AMS-MAA-SIAM Committee on Employment Oppor­ Pamela Cook-loannidis (SIAM, 1982), Jessie Ann tunities. Continuing members of the committee are Engle (MAA, 1980), Etta Z. Falconer (AMS, 1982), Wilfred E. Barnes, chairman (MAA, 1981 ), Roger A. Mary W. Gray (AMS, 1980), Israel N. Herstein (AMS, Horn (AMS, 1982), and Ervin Y. Rodin (SIAM, 1982). 1981), Linda C. Kaufman (SIAM, 1980), Edith H. Terms on this committee expire on October 31 of the Luchins (MAA, 1982), Margaret S. Menzin (MAA, year given. 1980), Cathleen S. Morawetz (SIAM, 1981 ), James A. Donaldson (1980) has been appointed Jacqueline C. Moss (MAA, 1981 ), and Alice T. chairman of the Committee on Opportunities in Schafer, chairman (AMS, 1980).

558 CLASSIFIED ADVERTISEMENTS

SUGGESTED USES for classified advertising are books or lecture notes for sale, books being sought, positions available, situations wanted, summer or semester exchange or rental of houses, mathematical typing services and special announcements of meethigs. THE RATE IS $3.50 per line. To calculate the length of an ad assume that one line will accommodate 60 characters and spaces. The same ad run in seven consec­ utive issues is $21.00 per line. Ads will be typed in the AMS offir.e and will be typed solid. If centering and spacing of lines is requested, the charge will be per line with the same rate for open space as for solid type. DEADLINES are listed on the inside front cover. U. S, LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, religion or national origin. "Positions Available'' advertisements from institutions outside the U. S. cannot be published unless they are accompanied by a statement that the institution does not discriminate on these grounds, whether or not it is subject to U.S. laws. Details and specific wording may be found on page 100 of the january 1980 Notices. SITUATION WANTED advertisements are accepted under terms spelled out on page A-355 of the Aprill979 Notices. (Deadlines are the same as for other classi· fied advertisements.) SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, Rhode Island 02940. Individuals are requested to pay in advance, in­ stitutions are not required to do so.

housing provided. Free air transportation to and from POSITIONS AVAILABLE Dhahran each year. Attractive educational assistance grants for school-age dependent children. All earned income with· KUWAIT UNIVERSITY out Saudi taxes. Ten months duty each year with two Applications are invited for posts as professors, associate months vacation with salary. There is also possibility of professors and assistant professors for the academic year selection for university's ongoing summer program with good commencing September 1, 1981, in computer science, oper· additional compensation. atlons research, statistics, and numerical analysis. Apply with complete resume on academic, professional and Initial contracts may be entered for a maximum of three personal data, list of references, publications and research years and are renewable upon mutual agreement of both details, and with copies of transcripts and degrees, including parties. Applicants must have a Ph.D. or equivalent. home and office addresses and telephone numbers to: Application forms may be obtained from: UNIVERSITY OF PETROLEUM & MINERALS Embassy of the State of Kuwait HOUSTON OFFICE Kuwait University Office 2223 WEST LOOP SOUTH, SUITE 410 4201 Connecticut Avenue N.W., Suite 404 HOUSTON, TEXAS 77027. Washington, DC 20008 Completed applications together with non-returnable copies UNIVERSITY OF MARYLAND, College Park 20742-Mathe· of academic qualifications and representative publications matics Department. Anticipate positions at all ranks in mathe· must be returned to this office by December 15, 1980. matics and statistics beginning August, 1981. Outstanding Appointments are governed by the following considerations: research credentials required. Vita, brief description of cur· 1. Rank and salary will be determined according to rent research and three letters of recommendation should be present academic position, qualifications and years of ex­ submitted toW. E. Kirwan, Chairman, by january 30, 1981, perience. There is no Kuwaiti income tax deduction. to guarantee full consideration. 2. Annual return air tickets to the country of citizenship or permanent residence are provided to spouse and three Tenure-Track Position in Statistics children not exceeding the age of twenty. THE UNIVERSITY OF IOWA 3. Free furnished accommodations with utilities supplied. 4. Education allowance for school·age children. We invite applications for a tenure-track Assistant Professor­ 5. End of service ·gratuity equal to one month's basic ship beginning in the fall of 1981. While our first require· salary for each year spent in the service of the university. ments are demonstrated evidence of excellence in teaching and research, we are particularly interested in applicants with English is the language of instruction in the Department of strengths in either Stochastic Processes or Multivariate Anal· Mathematics. ysis. The starting salary will range from $18,000 to $23,000, depending upon experience and qualifications. Please send UNIVERSITY OF PETROLEUM & MINERALS a resume and three letters of recommendation to The Search DHAHRAN, SAUDI ARABIA Committee, Department of Statistics, The University of Iowa, Iowa City, Iowa 52242. The University of Iowa is an The Department of Mathematical Sciences will have faculty affirmative action and equal opportunity employer. positions open for the academic year 1981-1982, starting 1 September 1981 in the following areas: Applied Mathematics SCUOLA NORMALE SUPERIORE Analysis PISA,ITALY Differential Equations Postdoctoral Position in Mathematics is offered for a Geometry period of 1 0 months from 1 October 1981. Topology Applicants may be of any nationality. Numerical Analysis The total salary attached to this position is 8 million Statistics Italian lire. Successful candidates may apply for a partial re· Academic Qualifications and Experience: imbursement of travel expenses. Applications should be sent by january 15, 1981 to Ph.D. degree in any of the fields mentioned above, or a Director of the Scuola Normale Superiore master's degree in mathematics plus teaching and research Piazza del Cavalieri, 7 interests. I - 56100 Pisa, Italy Language of instruction is English. and should include a curriculum vitae, a detailed programme of study, letters from three referees, and reprints of pub­ Minimum regular contract for two years, renewable. Compet­ lished papers. itive salaries and allowances. Air-conditioned and furnished

SS9 POSITIONS AVAILABLE LOGICIAN/COMPUTER SCIENTIST The MITRE Corporation offers the opportunity to take part in creating a significant new technology. The way programs SUNY COLLEGE AT BROCKPORT are being written is being changed by the application of Tenure-track position in Department of Mathematics and basic principles from the foundations of mathematics. It Computer Science available january 1981. Applicants should looks likely that this will effect major software reliability have a Ph.D. in statistics/applied mathematics, research advances. interests in these areas and a strong commitment to the The candidate chosen will have a strong mathematical back· teaching of mathematics at the undergraduate and master's ground, with graduate level training in logic, set theory and levels. Rank and salary dependent on qualifications. computer science. A Ph.D. is preferred, along with knowl· The College has an enrollment of 8,000 and is located edge of program verification, artificial intelligence and uni· in a village near Rochester. The area offers an attractive versal algebra. professional atmosphere and an unusually pleasant living environment. Responsibilities will include formal specification of mathe· Send vita and three letters of reference by October 31 matical models of program behavior; development of meth· to: ods for proving correspondence between programs and spe· State University College at Brockport cifications; research in applied logic; creation and use of Office of Faculty/Staff Relations software tools to execute verification algorithms. Brockport, New York 14420 Send resume to james G. Keeton·Williams, The MITRE An Equal Opportunity/ Affirmative Action l::mployer Corporation, Middlesex Turnpike, Bedford, MA 01730. MITRE is an equal opportunity employer actively seeking UNIVERSITY OF AUCKLAND, NEW ZEALAND. Professor applications under its affirmative action program. U.S. citi· and Head of the Department of Mathematics. Applications zenship or resident alien registration required. are invited from those with a strong academic and research record in Pure Mathematics, and applications will be par­ Mathematical modeler: Immediate opening for experienced ticularly welcomed from those with a background in analysis individual to develop an original computerized model of the or topology. Salary will be within the range NZ$31 ,612- transport of organic compounds through the terrestrial food $39,560. Conditions of Appointment and Method of Appli­ chain. Mini-computer experience and science background cation are available from the Assistant Registrar (Academic helpful. Washington, DC location. Salary up to $30,000. Call Appointments), University of Auckland, Private Bag, Barbara Edwards, Ebon Research Systems, 202-483-3306. Auckland, New Zealand. Applications will be accepted up to 5 December 1 980. PERSONALS HEAD, DEPARTMENT OF MATHEMATICAL SCIENCES On the occasion of its fiftieth anniversary, International The South Dakota School of Mines and Technology invites House of the University of California at Berkeley is conduct· applications for the position of Head, Department of Mathe­ ing a search for alumni of its residence program. Graduates matical Sciences. The department provides the mathematical are asked to please write to: Mr. W. Sheridan Warrick, training for the engineering and science students of the Executive Director, International House, 2299 Piedmont College and also offers a B.S. degree in mathematics, a B.S. Avenue, Berkeley, California 94720. bers of engineering and science departments on problems concerning the curriculum and course content. Administrative MATHEMATICAL TYPING. Professional papers, textbooks. experience is desirable. Preference may be given to those F. Fairbrother, Box 1095, Arroyo Grande, CA 93420. candidates who have experience in Computer Science. Salary is competitive for the nine-month position. Starting date is August 1981. Deadline for applications is Novem· FOR SALE ber 15, 1980. J of Algebra, Vol. 1 thru Vol. 32. PAUL WEICHSEL, MATH, Persons interested in the above position should send a letter U of Ill., Urbana, I L 61801. of application, resume and at least three letters of reference to: Dr. Harold Orville, Chairman, Search Committee, Institute of Atmospheric Sciences, South Dakota School of Mines and CARLETON UNIVERSITY Technology, Rapid City, South Dakota 57701. DEPARTMENT OF MATHEMATICS AND STATISTICS South Dakota School of Mines and Technology is an equal ANNOUNCES opportunity and affirmative action employer. THE MATHEMATICS CALENDAR degree in computer science and an M.S. degree in mathe· The Mathematics Calendar is a monthly calendar for the matics. The Department is primarily concerned with the academic year july 1980 to june 1981. The calendar teaching of undergraduate courses and lower level graduate measures 8.5 inches by 11 inches and opens to present a courses. In addition, Department members have been con­ topic in mathematics on the upper leaf together with the sistently active in professional mathematical organizations calendar month below; $3 per copy. and in the publication and presentation of papers on a voluntary basis. Cheques payable to the Department of Mathematics should be sent to: Candidates for the position should hold a Ph.D. in mathe· The Mathematics Calendar matics, have interest and experience in undergraduate teach· Mathematics and Statistics ing, have research experience and an interest in stimulating Carleton University scholarly activities, and have the ability to work with mem· Ottawa, Ontario K1 S 5 B6, Canada

560 INSTITUTIONS NOT SUBJECT TO U.S, LAWS are required to execute and submit a copy of this form with the text of recruitment advertisements for the NOTICES (see Policy Statement below). Publication of recruitment advertise­ ments not accompanied by the completed form may be delayed.

Employmentat.__ ~~----~--~~~------~~------~~~~~------(Name of Institution) (City) (Country) is offered without discrimination on grounds of age, race, color, sex, religion, or national origin.

(Signature) (Date)

Name (please print) (Title)

Advertising Department Please return this form to: NOTICES of the American Mathematical Society P.O. Box 6248, Providence, RI 02940, U.S.A.

AMS Policy on Recruitment Advertising No listing for a position will be printed if it expresses or implies any preference, limitation, specification, or discrimination based on color, age, sex, race, religion, or national origin in contravention of any federal or state statute prohibiting discrimination in employment on the basis of these criteria. The pub­ lisher reserves the right to edit any listing prior to publication which does not conform with federal or state law on discrimination in employment. All employers in the United States are required to abide by the requirements of Title VII of the Civil Rights Act of 1964, announcing a national policy of equal employment opportunity in private employment, without discrimination because of race, color, religion, sex or national origin. All U.S. listings are accepted with the understanding that the employer complies with federal requirements. Advertisers not subject to U.S. laws are· required to sign a statement that they do not discriminate in employment on grounds of age, race, color, religion, sex, or national origin. Applicants should be aware that institutions out­ side the U. 5. may not be legally bound to conform to these or similar requirements and the AMS cannot assume responsibility for enforcing compliance. Applicants are advised to inform themselves of conditions that may exist at the institutions to which they apply, In particular, readers should note that the Equal Employment Opportunity Act (42 U.S. C., § §2000e et seq.), which prohibits discrimination in em­ ployment on the basis of sex, race, religion, or national origin, contains (in §2000e-1) an exception from the provisions of the Act for any religious corpora­ tion, association, educational institution, or society with respect to employment of individuals of a particular religion to perform work connected with the carrying on by such corporation, association, educational institution, or society of its activities. The Age Discrimination in Employment Act of 1967 (29 U.S. C., § §621 et seq.), makes it unlawful for an employer to discriminate against any indi­ vidual between the ages of 40 and 65 because of age. Thus it is legal to seek as an employee someone who is "over 30," but not one "over 50"; neither is it legal to express a preference for someone who is "young," or is a "recent graduate," since the latter tend (on statistical grounds) to be young.

MATHEMATICS DEPARTMENT SIMON FRASER UNIVERSITY Invites applications for a tenure-track appointment in the field of Discrete Mathematics at the Assistant Professor level, to begin September 1, 1981. The appointee will be expected to participate in undergraduate and graduate teaching, as well as research. Applications should be sent on or before 1~80 to: December 15, Dr. M. Singh, Chairman Department of Mathematics Simon Fraser University Burnaby, B.C., Canada VSA 1S6 Please include curriculum vitae and arrange for three letters of recommendation to be sent directly from referees. In addition, we plan to make at least four temporary visiting appointments in 81-82 in the fields of Pure Mathematics, Applied Mathematics, and Statistics. These appointments can commence anytime after April 1, 1981. T~e salary, teaching load, and the term of appointment are all negotiable. Regular faculty at other universities in Canada or abroad on Sabbatical or leaves of absence shall be given preference.

561 THE UNIVERSITY OF TASMANIA The Department of Mathematics Lectureship or Senior Lectureship in Mathematics of THE OHIO STATE UNIVERSITY Applications are invited for a Lectureship or Senior Lectureship in the Department of Mathematics. Applicants should have a Ph.D., or equivalent ex­ hopes to fill several positions at all ranks from In­ perience, in either Applied Statistics or Operations structor to Full Professor effective Autumn Quarter, Research. The appointee will be expected to teach 1981. Candidates in areas of applied and pure undergraduate courses in Statistics and Operations mathematics are invited to apply. Significant re­ Research, supervise Honours, Masters and Ph.D. search accomplishments or exceptional research theses and will be involved in some consulting promise and evidence of good teaching ability will work. be expected of successful applicants for tenure­ Commencing salary will be within one of the track positions. following scales according to qualifications and experience:- Senior Lecturer $A23,801 - 5x Please send letter of application, resume, and have $778- $27,741; Lecturer $A17,739- 6x $795, letters of recommendation sent to: lx $794- $23,303 p. a. Professor Dijen K. Ray-Chaudhuri Application forms and further information available from: Department of Mathematics The Registrar, University of Tasmania The Ohio State University Box 252C, G. P. 0. 231 W. 18th Avenue Hobart, Tasmania, 7001, Australia Columbus, OH 43210 or from the The Ohio State University is an equal opportunity Association of Commonwealth Universities (Appts) employer. Applicants who are women, members of 36Gordon Square, London WC1H OPF, England minority groups or physically handicapped are Applications close on 31 October 1980. invited to identify themselves as such.

THE MATHEMATICS DEPARTMENT THE MATHEMATICS DEPARTMENT of the of the UNIVERSITY OF FLORIDA UNIVERSITY OF FLORIDA Gainesville, Florida 32611 announces the opening of two tenure­ track assistant professorships beginning Applications are invited for a new professorship and associate professorship available September, August, 1981. Those applying for these 1981. These positions require a record of substantial positions should have demonstrable re­ research accomplishment and teaching experience. search potential. The academic year Preferred research specialities: probability theory salary for each of these positions will be and stochastic processes, ordinary differential equa­ between $16,129 and $18,212. tions or partial differential equations. The academic year salary ranges for these positions are as follows: Applicants should provide a resume, a Professor ($36,453-$40,452); Associate Professor list of publications, and should arrange ($24,459-$28,592). for at least three letters of reference to Applicants should provide a resume, a list of publications and should arrange for letters of refer­ be sent to: ence to be sent to: MARK L. TEPLY Chairman, Search and Screen Committee CHAIRMAN, Search and Screen Committee Department of Mathematics Department of Mathematics University of Florida University of Florida Gainesville, Florida 32611 Gainesville, Florida 32611 The application deadline is November 5, Application deadline is January 1, 1981. The University of Florida is an equal opportunity 1980. The University of Florida is an employer. equal opportunity employer.

562 ,------r-N EW SERIES- Aalborg University Centre The "Annales de Ia Faculte des Sciences de Tou­ Denmark louse" have published 78 volumes since 1897. Thomas Stie/tjes in his short life, was one of the first Applications are invited for the position of Pro­ editors of this journal. The" Annales" were mainly de­ fessor in Mathematics. Applicants should be active voted to mathematical research, and published in research in the fields of Probability Theory and papers by E. Picard, Liapounov, P. Appell, P. Statistics, as well as their applications to real world Pain/eve, E. Borel,. D. Hilbert, D. Klein and H. problems. Poincare. The publication stopped in 1968 and Teaching duties include undergraduate and graduate started again in a "new series" in 1979. courses, primarily for mathematics majors but also for students in applied fields. Position available: August 1st, 1981. ANNALES Salary: approx. Danish kroner: 20.702,02 per month. DE Application deadline: December 15th, 1980. LA FACULTE Further information may be obtained from Professor DE DES SCIENCES GUnther Johannsen. A professional selection committee will consider TOULOUSE the applications, and its recommendation will be forwarded to all applicants. Editorial Policy. The main purpose of the "Annales" is to publish original mathematical research papers, Application (in triplicate) marked "Position No. especially in analysis and its applications to geom­ 030048" with enclosed curriculum vitae, references etry, probability, theoretical mechanics and number and documentation for professional and pedagog­ theory. ical activities must be made to the Queen of Associated Editors: M. ATTEIA, A. BRUNEL, H. Denmark and mailed to BREZIS, Y. CHOQUET-BRUHET, A. CRUMEYROLLE, Aalborg Universitetscenter G. DUVAUT, M. HERVE,].]. MOREAU, M. WALD­ SCHMIDT. Det teknisk-naturvidenskabelige fakultet P. 0. Box 159 Editorial Board: D. BANCEL, G. LETAC, ]. MAUSS. 9100 Aalborg Order form . Specimen copy: Denmark ANNALES FACULTE DES SCIENCES DE TOULOUSE UNIVERSITE PAUL SABA TIER 31062. TOULOUSE, FRANCE

Notes in Banach Spaces Notes on the Witt Classification of Edited by H. Elton Lacey Hermitian lnnerproduct Spaces over a Covers several aspects of Banach spaces, including a Ring of Algebraic Integers number of topics which have never before been treated By P. E. Conner in expository form. The contents are as follows: "Inte­ Intended to give mathematicians at the graduate level Spaces," by Hui-Hsiung Kup; gration in Banach and beyond some powerful algebraic and number Transformation of IP Spaces," by "Lectures on Matrix theoretical tools for formulating and solving certain Grahame Bennett; "Geometry of Finite Dimensional types of classification problems in topology. The Operator Ideals," by Aleksander Banach Spaces and contents are as follows: Chapter L Relative Quadratic Tensor Products, and Pelczynski; "Factorization, Extensions: Extensions of primes, Hilbert symbols, Bilinear Forms in Banach Space Theory," by John E. The group Gen(E/ F), The group lso(E/ F), The unrami­ Leih; "Characterization of Bauer Gilbert and Thomas J. fied case, and Examples. Chapter II. The Witt Ring Simplices and Some Other Classes of Choquet H(E): General definitions, Anisotropic representatives, Representing Matrices," by Y. Simplices by Their Invariants for H(E), and Algebraic number fields. Chap­ of Convexity of Lorentz and Sternfeld; "The Modulus ter IlL Torsion Forms: Torsion o.-modules, The quo­ Orlicz Sequence Spaces," by Z. Altshuler; "Applica­ tient E/K Torsion innerproducts, Localizers, and The tions of Ramsey Theorems to Banach Space Theory," inverse different. Chapter IV. The Group Hu(K): Basic by E. Odell; "Banach Lattices and Local Unconditional definitions, The group lso(E/ F) again, The Knebusch Structure," by S. Bernau and H. E. Lacey; and "A J. exact sequence, Localization, Computing Hu(K), The. to the Principle of Local Reflexivity," Unified Approach ring H(O.), and The cokernel of ll. Chapter V. The W11t by S. J. Bernau. $30.00 Ring W(O.): Symbols, The boundary operator, and The ring W(O.). $15.00

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S63 asterisque A JOURNAL EDITED BY THE FRENCH MATHEMATICAL SOCIETY Supporting Institution Centre National de Ia Recherche Scientifique.

Ten issues yearly, each devoted to a single topic.

Issues published in 1979 61 - }ournees arithmetiques de Luminy (1978) 62- 150 years after Gauss' "disquisitiones generales circa superficies curvas", P. DOMBROWKY 63- }ournees de Geometrie Algebrique de Rennes (Juillet 1978) I 64- }ournees de Geometrie Algebrique de Rennes (J uillet 1978) II 65- }ournees de Geometrie Algebrique de Rennes (Juillet 1978) Ill 66-67 Travaux de THURSTON sur les diffeomorphismes des surfaces Seminaire Orsay (edite par FATHI, LAUDENBACH, POENARU) 68- Grandes deviations et applications statistiques (Seminaire Orsay 1977-1978) 69-70 Nombres transcendants et groupes algebriques, M. WALDSCHMIDT

Issues published in 1980 71-72 Les equations de Yang-Mills (Seminaire E. N. S.1977-1978) 73- Mode/es de /'arithmetique (Seminaire Paris VII) K. McALOON 74- }ournees sur les Marches a/eatoires (Nancy 1979) 75-76 Analyse des systemes (Bordeaux,11-16 septembre 1978) In preparation Representations theorems for ho/omorphic and harmonic functions LP, by COIFMAN et al Ensembles analytiques et boreliens dans /es espaces produits, par A. LOUVEAU Gromov's a/most flat manifolds, by Buser- Karcher

Subscriptions 1980 For 350 French Francs, the ten issues of Asterisque are available from OFFILl B, 48 rue Gay-Lussac, F-75005 Paris, France (single issue may also be ordered separately). Individual members may prefer to join our Society. At their request, an adhesion form will be sent to their address.

SOCIETE MATHEMATIQUE DE FRANCE Boite Postale 126-05 75226 PARIS CEDEX 05

S64 SCUOLA NORMALE SUPERIORE PISA - ITALY

ANN ALl DELLA SCUOLA NORMALE SUPERIORE Dl PISA CLASSE Dl SCIENZE An International Journal in Mathematics Managing Editor: E. Vesentini Editors: t A. Andreotti, M. F. A tiyah, I. Barsotti, E. Bombieri, L. Carleson, G. Colombo, E. De Giorgi, j. Dieudonm!, 5. Faedo, H. Grauert, j. Leroy, H. Lewy, ]. L. Lions, E. Magenes, L. Nirenberg, G. Prodi, L. A. Radicati di Brozolo, C. A. Truesdell Published: quarterly Subscription Rate: U.S. $60 for 1980 Back Volumes: available at U.S. $60 for each yearly volume. The journal is published from 1871

OTHER RECENT PUBLICATIONS Proceedings of International Conferences on SEVERAL COMPLEX VARIABLES, Cortona, June 1976 and July 1977, pp. 286, $7. Special volume of the Annali collecting papers dedicated in honour of JEAN LERAY, 1979, pp. 1024,$65. Special volume of the Annali collecting papers dedicated in honour of HANS LEWY, 1979, pp. 666, $40. M. F. ATIYAH, Geometry of Yang-Mills Fields, 1979, pp. 98, $10.

ORDERS must be prepaid and should be addressed to: ANNALI DELLA SCUOLA NORMALE - CLASSE Dl SCI ENZE SCUOLA NORMALE SUPERIORE- 56100 PISA (ITALY)

THE GUIDO STAMPACCHIA PRIZE NOTIFICATION OF AN INTERNATIONAL COMPETITION To honour the memory of Guido Stampacchia, a competition for a prize in his name of FIVE MILLION lire has been created by the Scuola Normale Superiore, Pisa, with financial help from the National Research Council. The Prize will be awarded for work devoted to the following subject: New problems on differential equalities or inequalities, or the calculus of variations in presence of unilateral constraints. Monographs or other lengthy works published between January 1st 1980 and December 31st 1981, or unpublished manuscripts, will be taken into consideration. Those wishing to compete are requested to send their publications or manuscripts to the following address by December 31st 1981: THE GUIDO STAMPACCHIA PRIZE COMMITTEE c/o Scuola Normale Superiore 7, piazza dei Cavalieri 1-56100 Pi sa, Italy This subject has been chosen for the competition because, on the one hand, it links up with research carried out by Guido Stampacchia at the end of his life, and, on the other, it offers great scope for development both because of the variety of problems still unsolved in this connection (for instance, elliptic problems with thin irregular obstacles, penalization and stability in relation to obstacles, the movement of a mechanical system in the presence of uni­ lateral constraints, ... ) and because of the methods for solving them. Scuola Normale Superiore The Director Pisa, February 1980. Edoardo Vesentini

565 PUBLICATIONS OF THE APPLIED PROBABILITY TRUST Journal of Applied Probability (JAP) Advances in Applied Probability (AAP)

These well-established international journals are published by the Applied Probability Trust. They both contain papers in applications of probability theory to the biological, physical, social and technological sciences; JAP is devoted to research papers and short communica­ tions while AAP is reserved for review papers, longer research papers and reports of confer­ ences. Each has four quarterly issues comprising an annual volume of at least 800 pages. Sub­ scribers may obtain current volumes of either journal (JAP Volume 17 or AAP Volume 12) for their own personal use at US $25.00 (£13.00) per volume; if both are ordered together, a dis­ count of 10% is allowed giving a combined price for the two of US $45.00 (£23.40). Institu­ tional rates are three times the personal rate. Prices for back issues are available on request. Cheques in US dollars or sterling are accepted. Orders with remittances (payable to 'Applied Probability') should be sent to Executive Editor, Applied Probability Department of Probability and Statistics The University, Sheffield, 53 7RH England Proceedings of the Conference on Spatial Patterns and Processes held at CSIRO Division of Mathematics and Statistics Canberra, Australia, 12-14 May 1977

From time to time special supplements to AAP are issued to place on record papers pre­ sented at a conference of particular interest. A recent example is the above Proceedings issued as a supplement to AAP Volume 10; copies are available at US $9.00 (£5.00) each and should also be ordered from the Applied Probability Office in Sheffield. Perspectives in Probability and Statistics This book was published in 1975 as a tribute to Professor M.S. Bartlett on the occasion of his 65th birthday from his colleagues in several countries. It honours both the man and his funda­ mental contributions to probability and statistics. The thirty papers, covering a wide range of topics in probability and statistics, reflect the breadth and versatility of Professor Bartlett's work. The book costs US $29.00 (or £12.50) and should be ordered from the sole-distributors Academic Press, Inc., 111 Fifth Avenue, New York, N.Y. 10003 (or 24-28 Oval Road, London, NW1 7DX_, England). Mathematical Spectrum This is a magazine designed for young mathematics students in their final years at school and first years at college or university. All branches of the subject are covered in articles by contributors ranging from well-known mathematicians to students. Reader participation is en­ couraged and each issue contains problems to which students are invited to send solutions; the best of these are published in future issues. In most issues there are letters to the editor and book reviews. Prizes are offered for the best contributions from students. Mathematical Spec­ trum is published in annual volumes of three issues (totalling about 100 pages) appearing in September, January and May. Volume 13 (1980/81) costs US $9.00 (£4.00). A discount of 10% is allowed on orders for five or more copies of the same volume to the same address. Informa­ tion concerning back issues is available on request. Remittance (payable to 'Mathematical Spectrum'), with order please, to the Editor, Mathematical Spectrum, reference AMS, Hicks Building, The University, Sheffield, 53 7RH, England

566 Current Mathematical Current Publications v~ ...... Mathematical Publications

_ ...... a.,.,. -'"'".,.II.. ..- --1M~ ...... , lll...... , ••• IUZ,O

INDIVIDUAL MEMBERS OF THE AMS WHO ENTER A NEW SUBSCRIPTION FOR 1981 CAN SUBSCRIBE FOR ONE-HALF THE MEMBER PRICE- $20 •••

• Each issue lists the CONTENTS OF 80 TO 150 RECENT JOURNALS which have reached Mathematical Reviews in the PREVIOUS TWO WEEKS, some in page proof.

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Twenty-six issues annually, indexed in issue 13 and issue 26. Individual subscription $40.00, MR Reviewer $20.00. List $90.00, Institutional member of AMS $70.00. (Delivery is by second class mail. First class mail and airmail prices will be quoted on request.) Prepayment is required. American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rhode Island 02901

567 Mathematical Reviews Cumulative Index 1973-1979 VOLUMES 45 THROUGH 58 OF MATHEMATICAL REVIEWS

This massive index, the first cumulative index of Mathemat­ ical Reviews containing both author and subject listings, is being prepared from the working files of MR and will index all the reviews in volumes 45 through 58, producing an esti­ mated 700,000 entries representing over 230,000 entries in MR for the period. It will total about 9,200 pages in 12 volumes. The CUMULATIVE INDEX will have the same form as the Annual Index for 1978 as it is being generated by the same computer program. The first part an Author and Key Index will be about 5,000 pages. The entries will give full bibliographic information about all items that have been reviewed in MR between january 1973 and December 1979, inclu­ sive. This is about 220,000 entries. In addition, there will be an entry for about 2,500 items not reviewed in MR for which the editors think biblio­ graphic information should be made available. They will be treated ex­ actly as reviewed items, generally with references to Zentralblatt tar Mathematik, Reverativnyi L.uma/, or other reviewing journals. Items are listed alphabetically by author; those having several authors are listed in full under each author. Surnames of authors are cross­ referenced for name changes or variations of spelling. The original entry for which an erratum or other commentary has been reviewed in a subse­ quent entry will be identified by an (E). The author index section is estimated to have about 300,000 entries be­ cause of multiple authors. In the Author Index the names of persons associated with an item in a. capacity other than that of author, e.g., editor, translator, subject of a biography, are also listed. The Key Index section of the author index will consist of all items for which there is no clear author and will be about 70 percent cross­ referenced. Included are proceedings of meetings, tables, obituaries, biographies, etc. The entries under a given heading (i.e., the author or a title) are listed in order of pub I ication dates. Co-authored items are treated on the same List $1 ,070.00 basis as those by the author alone. Institutional Member, $802.50 Individual Member, $535.00 The Subject Index, to consist of about 380,000 listings on 4,200 pages, MR Reviewer, $267.50 will cover all subject areas as classified by MR. For each item there will Please use order code MREVIN/73/79 be one full listing in each subject area in which it has been classified, PREPAYMENT IS REQUIRED with all authors, title and MR number, if any. Cross-references will be given under each author after the first to the original listing. The arrangement of each title entry is that of the heading of the original American Mathematical Society review in MR. Titles in English, French, German, and Italian are usually P.O. Box 1571, Annex Station given as they appeared in the original. Articles in other languages are Providence, Rhode Island 02901 given in English translation. USA

568 European Journal of Combinatorics

Editors: M. Deza M. Las Vergnas P. Rosentiehl

Editorial correspondence should be sent to: Journal Europeen de Combinatoire 54 Boulevard Raspail, 75270, Paris Cedex 06, France

Publication: Quarterly Subscription: Volume 1, 1980 $88.50 {overseas) £37.50 {overseas) £30.00 {UK)

The European Journal of Combinatorics is a new international quarterly journal of pure mathematics, specializing in theories arising from combinatorial problems. The Journal is primarily open to papers dealing with mathematical structures within combinatorics and/or establishing direct links between combinatorics and other branches of mathematics. It should have a broad impact throughout the mathematical world. The Journal policy includes a strong emphasis on rigour in content and refereeing standards, and on ensuring rapid publication. It also aims to open the subject of combinatorics to a wider audience by keeping specialised references to a minimum. The Journal, edited and managed in Europe, will welcome contributions from all parts of the world. In addition to full length research papers, there will be sections containing short notes, research problems and information. The Journal will be welcomed and enjoyed not only by workers in combinatorics but by mathematicians in other specializations. Papers will be published in English, French or German. Forthcoming issues will include: E. Bannai: On the weight distribution of spherical t-designs. A. Bj(irner: The minimum number of faces of a simple polyhedron. A. Brini: A class of rank-invariants for perfect matroid designs. P. Erdos: Some applications of Ramsey's theorem to additive number theory. B. Lindstrom: A partition of L(3,n) into saturated symmetric chains. L. Lovasz: Matroids and Sperner's Lemma. G.-C. Rota and B. Sagan: Congruences derived from group action.

A Subsidiary of Harcourt Brace Jovanovich, Publishers Academic r'n London New York Toronto Sydney San Francisco 24-28 Oval Road, London NW1 7DX, England Press ~ 111 Fifth Avenue, New York, NY 10003, USA

569 Mathematical Surveys Recent volumes in this distinguished series APPROXIMATION BY POLYNOMIALS WITH INTEGRAL COEFFICIENTS LeBaron 0. Ferguson Results in the approximation of functions by portant applications to other areas of mathe­ polynomials with coefficients which are integers matics; for example, in the simulation of have been appearing since that of Pal in 1914. transcendental functions on computers. In most The body of results has grown to an extent computers, fixed point arithmetic is faster than which seems to justify the present book. The in­ floating point arithmetic and it may be possible tention here is to make these results as acces­ to take advantage of this fact in the evaluation sible as possible. of integral polynomials to create more efficient The book addresses essentially two questions. simulations. Another promising area for applica­ The first is the question of what functions can be tions of this research is in the design of digital fil­ approximated by polynomials whose coeffi­ ters. A central step in the design procedure is the cients are integers and the second question is approximation of a desired system function by a how well are they approximated Uackson type polynomial or rational function. Since only theorems). For example, a continuous function f finitely many binary digits of accuracy actually on the interval -1, 1 can be uniformly approxi­ can be realized for the coefficients of these func­ mated by polynomials with integral coefficients tions in any real filter, the problem amounts (to if and only if it takes on integral values at -1, 0 within a scale factor) to approximation by poly­ and+ 1 and the quantity f(1) + f(O) is divisible by nomials or rational functions with integral coef­ 2. The results regarding the second question are ficients. very similar to the corresponding results re­ This book should make the task of finding out garding approximation by polynomials with arbi­ what is known in this field significantly easier as trary coefficients. In particular, nonuniform esti­ it presents an introduction to most of the known mates in terms of the modulus of continuity of results in the area of approximation by polyno­ the approximated function are obtained. mials with integral coefficients and pointers to Aside from the intrinsic interest to the pure the literature for the rest. It is accessible to stu­ mathematician, there is the likelihood of im- dents at the graduate level and above.

Volume 17, vi + 160 pages, 1980, hard cover. List price $25.60; institutional member $19.20; individual member $12.80. To order, please specify SURV/17 K SYMPLECTIC GROUPS 0. T. O'Meara

This volume, the sequel to the author's Lec­ new geometric approach used in the book is in­ tures on Linear groups, is the definitive work on strumental in extending the theory from sub­ the isomorphism theory of symplectic groups groups of PSpn(n ~ 6) where it was known to sub­ over integral domains. Recently discovered geo­ groups of PfSpn(n ~4) where it is new. There are metric methods which are both conceptually extensive investigations and several new results simple and powerful in their generality are ap­ on the exceptional behavior of PfSp4 in char­ plied to the symplectic groups for the first time. acteristic 2. There is a complete description of the isomor­ The author starts essentially from scratch and phisms of the symplectic groups and their con­ the reader need be familiar with no more than a gruence subgroups over integral domains. The first course in algebra.

Volume 16,128 pages, 1978, hard cover. List $22.80; institutional member $17.10; individual member $11.40 To order, please specify SURV/16 K

Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901

570 American Mathematical Society

The AMERICAN MATHEMATICAL SOCIETY, founded in 1888, is the oldest society in the United States devoted to promoting the interests of mathematical scholarship and research. The Society serves its membership by publishing books and journals, holding meetings, and provid­ ing reviewing, indexing, employment information, and other services useful to the mathematical community. The membership of the AMS is approximately 20,000. This includes more than 3,500 members who live outside of North America. privileges of membership

The opportunity to present and to hear original research papers at mathematics meetings held throughout the United States and Canada. Free subscriptions to the NOTICES and the BULLETIN (New Series), journals devoted to the publication of news items, research papers, and announcements of interest to mathematicians. A free copy of the COMBINED MEMBERSHIP LIST biennially. Reduced subscription rates to the following journals published by the AMS:

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Fifty percent price reduction to individual members on most of the books published by the Society. Reduced subscription rates to several non-AMS journals. Minimum annual dues range from $10 to $48 based upon employment status. For further information and the CATALOGUE OF PUBLICATIONS, please write to American Mathematical Society, P.O. Box 6248, Providence, R.I. 02940

571 INTRODUCTION TO GLOBAL ANALYSIS By DONALD W. KAHN A Volume in the PURE AND APPLIED MATHEMATICS Series SECTION HEADINGS: Manifolds and Their Integration on Manifolds. Differential Opera- Maps. Embeddings and Immersions of Mani- tors on Manifolds. Infinite-Dimensional Mani- folds. Critical Values. Sard's Theorem, and folds. Morse Theory and Its Applications. Lie Transversality. Tangent Bundles, Vector Bun- Groups. Dynamical Systems. A Description of dies, and Classification. Differentiation and Singularities and Catastrophes. Index. 1980, 352 pp., $34.50 ISBN: 0-12-394050-8

Future volumes in the PURE AND APPLIED MATH­ the series automatically, immediately upon publi­ EMATICS Series are now available on a Continu­ cation. This order will remain in effect until can­ ation Order basis. Your Continuation Order au­ celled. Specify the volume title wffh which your thorizes us to ship and bill each future volume in order is to begin. DIFFERENTIAL EQUATIONS Edited by SHAIR AHMAD, MARVIN KEENER, and A. C. LAZER Proceedings of the Eighth Fall Conference on Differential Equations held at Oklahoma State University, October 1979 CONTENTS: L. Cesari, Hyperbolic Problems: feld, On the Structural Identification (Inverse) Existence and Applications. J. K. Hale, Sta­ Problem for Illness-Death Processes. J. N. bility from the Bifurcation Function. L. K. Jack­ Hanson, Computer Symbolic Solution of Non­ son, Boundary Value Problems for Lipschitz linear Ordinary Differential Equations with Ar­ Equations. S. J. Skaret a/., Periodic Solutions bitrary Boundary Conditions by the Taylor Se­ of Systems of Ordinary Differential Equations. ries. T. L. Herdman, A Note on Noncontinu­ K. Schmitt, Bifurcation Results for Equations able Solutions of a Delay Differential Equation. with Nondifferentiable Nonlinearities. G. R. R. A. Knight, The Center of a Flow. A. C. Lazer Sell, The Structure of Limit Sets: A Survey. S. and P. J. McKenna, On Multiple Solutions of a Ahmad and J. Salazar, On Existence of Peri­ Nonlinear Dirichlet Problem. R. C. McCann, odic Solutions for Nonlinearly Perturbed Con­ Certain "Nonlinear" Dynamical Systems Are servative Systems. P. N. Bajaj, Start Points in Linear. S. J. Merrill and A. L. LeFever, A Model Semiflows. P. W. Bates and I. Eke/and, A Sad­ of Complement Activation by Antigen-Antibody dle-Point Theorem. S. R. Bernfeld and L. Sal­ Complexes. R. Kent Nagle and K. Singkofer, vadori, Generalized Hopf Bifurcation in Rn and Solvability of Nonlinear Elliptic Boundary Value h-Symptotic Stability. G. J. Butler, The Poin­ Problems Using a Priori Estimates. P. Seibert, care-Birkhoff "Twist" Theorem and Periodic Attractors in General Systems. C. C. Travis Solutions of Second-Order Nonlinear Differ­ eta!., Infectious Disease in a Spatially Hetero­ ential Equations. A. Castro, Periodic Solutions geneous Environment. of the Forced Pendulum Equation. J. Eisen- 1980, 278 pp., $20.00 ISBN: 0-12-045550-1 SURVEYS IN GENERAL TOPOLOGY Edited by GEORGE M. REED CONTENTS: D. K. Burke, Closed Mappings. S. Negrepontis, Combinatorial Techniques in W. W. Comfort, Ultrafilters: An Interim Report. Functional Analysis. P. J. Nyikos, Order-Theo­ E. K. van Douwen, Covering and Separation retic Base Axioms. T. C. Przymusinski, Prod­ Properties of Box Products. R. Engelking, uct Spaces. M. E. Rudin, Sand L Spaces. F. D. Transfinite Dimension. W. G. Fleissner, Ap­ Tall, Large Cardinals for Topologists. M. I. plications of Stationary Sets in Topology. H. Wage, Weakly Compact Subsets of Banach J. K. Junnila, Three Covering Properties. D. J. Spaces. H. H. Wicke and J. M. Worrell, Jr., Lutzer, Ordered Topological Spaces. K. Mori­ The Development of Generalized Base of ta, Dimension of General Topological Spaces. Countable Order Theory. 1980, 576 pp., $35.00 ISBN: 0-12-584960-5

Send payment with order and save postage and handling charge. Prices are subject to change without notice. Academic Press, Inc. A Subsidiary of Harcourt Brace Jovanovich, Publishers 111 FIFTH AVENUE, NEW YORK, N.Y. 10003/24-28 OVAL ROAD, LONDON NW1 7DX

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INSTRUCTIONS: INSTRUCTIONS:

Vlations Vlations display display APPLICANT APPLICANT EMPLOYERPREREGISTRATION FORM MATHEMATICALSCIENCES EMPLOYMENT REGISTER SANFRANCISCO, CA JANUARY8-10, 1981 INSTRUCTIONS:Please read carefully before completing form below. Circled letters identify corresponding items in the FORMand the SUMMARYSTRIP; abbrevi­ ations to be used are provided in the notes below. Please print or type in black ink. Block capitals are suggested. The FORMitself will be placed on dis­ pl~ at the Register exactly as submitted. The SUMMARYSTRIP will be used to prepare a computer printed list of summaries for distribution at the Register sessions. Employers are encouraged to provide more than one interviewer when they are able to do so, in order to increase the number of interviews which m~ be scheduled. Please indicate the NUMBEROF INTERVIEWERSfor whomsimultaneous interviews m~ be scheduled. If all interviewers will be interviewing for t~esame position, or set of positions, only one form should be submitted. If, however, separate "teams" of interviewers will interview for distinct positions (or for groups of positions), SEPARATEFORMS will be required for each group of positions. On each form it will be necessary to indicate the number of interviewers who may be assigned interviews simultaneously.

EMPLOYERFORM Dept •.______Institution~------Name of Interviewer(s) ______

City, State, Zip·------® Title(s) of Position(s) Number of Positions ® Numberof People Supervised. ____ _ © Starting Salary @ Term of Appointment.____,=-=--® Renewal ( l Possible Date -.,.,--'--==---mo. yr. yrs. ( l Impossible

h~hi~~s./we~ ® ~&i~~~~~"~------® Degree Preferred______® Degree Accepted______

(!;) Available for Interviews Session 1 ( l Session 2 ( l Session 3 ( l Session 4 ( )* Fri. AM, 9:30-11:45 Fri. PM, 1:15-5:00 Sat. AM,9:30-11:45 Sat. PM, 1:15-5:00

® Numberof Interviewers: Interviewers Interviewers Interviewers Interviewers

. ©llirt Summary Stnp . . City state ®Title of position ®No. mo. I yr. 10 1 I I I I I I I ttr1 j I I I I I I I 1.1I I I I I I I I I I I I I I I I I.CIJ.I I I I t I I I I I.OJ. OJ/OJ.

NOTES: ® Inst, Lect, Asst Prof, Asso Prof, Prof, Dean, Open, MTS (MemberTechnical Staff), OPAN(Operations Analyst), PREN(Project Engineer), RESC (Research Scientist); © Date 01/81, e.g.; ® Possible=P, Impossible=!; ~ Algebra=AL, Analysis=AN, Biomathematics=BI, Biostatistics=BS, Combinatorics­ =CB, Communication=CM,Control=CN, Computer Science=CS, Circuits=CT, Differential Equations=DE, Economics=EC,Mathematical Education=ED, Functional Analy­ sis=FA, Financial Mathematics=FI, Fluid Mechanics=FL, Geometry=GE,History of Mathematics=HM, Logic=LO, Mathematical Biology=MB, Mechanics=ME, Modeling­ =MO,Mathematical Physics=MP, ManagementScience=MS, Numerical Analysis=NA, NumberTheory=NT, Operations Research=OR, Probability=PR, Systems Analysis=SA, Statistics=ST, Topology=TO; ® ® Bachelor=B, Master=M, Doctor=D; aDGD Teaching=T, Undergraduaters=U, Graduates=G, Research=R, Consulting=C, Adminis­ tration=A, SUpervision=S, Industry=IND, Government=GOV,Data Processing=DP, No experience required=N; ® U.S. Citizen=C, U,S. Citizen or permanent resi­ dent=CP, No restriction=NR;

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1)~~~~~~~~~------~~------~~~------NAME (Please print) SURNAME FIRST MIDDLE

2)--~~=-~~~~==~------==~------=~~---=~~~--ADDRESS NUMBER AND STREET CITY STATE ZIP CODE

3) Employing institution ------Unemployed [ ] 4)Studentat ______

5) Member: AMS [ ], ASL [ ], MAA [ ], NCTM [ ] . (6) Name of spouse------­ (Member discount applies only to above organizations.) (only if accompanying to meeting) Nonmember [ ] · ] , MAG [ ] , NAM [ ] . (7) Accompanying children {number)_ Member other organizations: AWM [ 8) Preregistration fee(s) enclosed $ (9) MAA Minicourse fee enclosed $ ___ (payable to AMS) (payable to MAA) 10) Employer fee enclosed$ (payable to AMS) (11) TOTAL AMOUNT ENCLOSED$----- N.B. A $2 charge will be imposed for all invoices prepared when preregistration/housing forms are submitted without an accompanying check or money order for the preregistration fee{s), or are accompanied by an insufficient amount. PLEASE BE SURE TO COMPLETE HOUSING SECTION ON THE REVERSE. IF YOUWILL NOT REQUIRE A ROOM, CHECK HERE 0 S1S IV

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0\ Ia NOR I H-HOU.AND =-=-=;. ;;.~: ;:rfi._.,.~=-!1 ~ ~ .. - =;;~_ _, I NORTH-HOLLAND PUBLISHING COMPANY ! 52 Vanderbilt Ave .. New York. N.Y. 10017/ P.O. Box 211. 1000 AE Amsterdam. The Netherlands

I should be accessible to a begin· E Introduction to the Topics in ner in the subject. However, = Mathematical Arithmetical many researchers, even those who are very advanced in the Theory of Functions subject, who have to study or Geophysical Fluid Asymptotic Formulae for Sums construct new spectral se· of Reciprocals of Arithmetical quences,at any level, may be Dynamics Functions and Related Results able to profit from the general by SUSAN FRIEDLANDER by J. ·M. DE KONINCK, and A. study made. IVIC The spectral sequence of an ex· NORTH-HOLlAND act couple is developed at a very MATHEMATICS STUDIES, NORTH-HOLLAND high level of generality. The Vol. 41/ Notas de Matematica (70) MATHEMATICS STUDIES, abutment is discussed at this ex· 1980. 282 pages Vol. 43/Notas de Matematica (72) tremely high level of generality. Such spectral sequences as the Price in the U.S.A./Canada: 1980. xvii + 262 pages US$29.50 Price: US $39.00/Df/. 80.00 Adams spectral sequence, which have often puzzled topologists, In all other countries: Dfl. 65.00 ISBN D-444·86049·5 ISBN ()..444-86032·0 fit into the framework. This monograph is devoted to The purpose of this work is to the study of certain topics in the give a mathematical description theory of arithmetical functions, of a certain class of the study of of which the most important is fluid motions on the earth. The the study of asymptotic for­ Descriptive Set author is concerned with those mulae for the summatory func· Theory problems for which the length tion of 11f(n), where f(n) is a non­ scale is sufficiently large that negative arithmetical function of by YIANNIS N. MOSCHOVAKIS the earth's rotation has a signifi· number-theoretic interest. Sharp STUDIES IN LOGIC AND THE cant effect on the dynamics of asymptotic formulae are derived FOUNDATIONS OF MATHEMAT· the fluid. Hence, many interes­ for many summatory functions, ICS, Vol. 100 ting small scale problems are ex· especially for certain classes of eluded · for example those con­ integer-valued additive func· 1980. xii + 638 pages nected with surface tension, but tions. Except in chapter 6, which Price: US $73.25/Dfl. 150.00 the mathematics that describes is devoted to large additive func· ISBN Q-444·85305-7 basic models for the motion of tions, analytical methods are us­ This monograph gives a self· the ocean and the atmosphere is ed throughout. These include contained and coherent exposi· discussed. Besides the complex integration and the con­ tion of ·the main results and relevance to geophysics, the volution method, providing the methods of descriptive set subject is an appealing one to a reader with an insight into these theory · ultimately the study of mathematician because the par· important techniques of analytic definable sets of real numbers. tial differential equations which number theory. Other topics In particular, it carefully devel· arise frequently display in· which will also interest the ops all the necessary back· teresting and rather unusual pro­ general reader, include sums in ground material from logic and perties. short Intervals and sums over recursion theory and gives a residue classes. The equations that describe the solid treatment of both classical simplest physics of the "ICean descriptive set theory and the ef· and atmosphere are s1udied fective theory developed by the first. From this base, layer upon logicians. Much of the material layer of mathematical complexi· Cohomology of is in the exercises, which are an ty is added to accomodate fur· integral part of the volume and ther relevant physical factors. Completions for which extensive "hints" are by SAUL LUBKIN provided. The order of exposition The reader is led to topics of cur· follows roughly the historical rent research interest in NORTH-HOLLAND development of the subject. - oceanography, meteorology, and MATHEMATICS STUDIES, Classical results are presented = astrophysics. The mathematical Vol. 42/Notas de Matematica (71) from a modern point of view, us· = lng modern notation. This work - - analyses are self-contained and 1980. xxviii + 792 pages - -· = the material is presented so as develops, for the first time in -= Price: US $73.25/Dfl. 150.00 print, a systematic approach to to be easily accessible to ISBN Q-444·86042-EJ = graduate students: physical the consequences for descrlp· - motivation is developed, each The Introduction contains what tive set theory of strong set -= chapter is followed by problems, is perhaps the most thorough theoretic hyptoheses · the ex· = and extensive references are study ever made of spectral se­ istence of measurable cardinals = given. quences. It is so written that it and definable determinacy.

0748 NH 11.1-- 0.0 et: "' "'11.1 !9 ~ g u Seminaire Bourbaki "" Q.l ·- if 8.~~ 0 The papers of the Seminaire have been published in Springer-Verlag's Lecture 11.1 "t:l 0.0 Notes in Mathematics since 1968. Here are some recent volumes: "' ~ "' > "C"' ·= u"' 0 c:: ·;;; "t:l E c:: c: "' 0 .... Seminaire Bourbaki Vol.1978l79 Other Volumes: u "t:l"' ~ Exposes 525-542 -~ Contributors: B. Helfer. H. Karcher. J. Lannes. Seminaire Bourbaki Y Meyer. V Poenaru. M. Schneider. A Beau- Vol.1974l75 ville. L. Boutet De Manuel. P Cartier. J.F Meta. Exposes 453-470 J. Oesterle. L. Siebenmann. N. A 'Campo. 1976/276 pp./Paper $14.70 D. Bertrand. P Deligne. R.D. Edwards. A Gui- ISBN 0-387-07686-7 chardet. G. Pisier. (Lecture Notes in Mathematics, Volume 514) Contains an index of contributors to the Seminaire since 1967. Seminaire Bourbaki 1980/341 pp./Paper $19.50 Vol.1973l74 ISBN 0-387-09733-3 Exposes 436-452 (Lecture Notes in Mathematics, Volume 770) 1975/347 pp./Paper $18.30 ISBN 0-387-07023-0 Seminaire Bourbaki Vol.1977178 (Lecture Notes in Mathematics, Volume 431) Exposes 507-524 Seminaire Bourbaki Contributors: J.P Bourguignon. M. Duflo. J.C. Vo1.1972 I 73 Fournier. P Gerardin. J.P Serre. J.L. Verdier. Exposes 418-435 P Cartier. N.H. Kuiper. F Latour. J.L. Loday. 1974/334 pp./Paper $18.30 G. Pourcin. J.P Thouuenot. M. Deschamps. ISBN 0-387-06796-5 J.M. Deshouillers. K. McAloon. B. Malgrange. (Lecture Notes in Mathematics, Volume 383) J.P Ramis. F Sergeraert. Contains an index of contributors to the Seminaire Bourbaki SE!minaire since 1967. Vol.1971l72 1979/328 pp./191llus./Paper $18.90 ISBN 0-387-09243-9 Exposes 400-417 (Lecture Notes in Mathematics, Volume 710) 1973/361 pp./Paper $18.30 ISBN 0-387-06179-7 (Lecture Notes in Mathematics, Volume 317) Seminaire Bourbaki Vol.1976177 Exposes 489-506 Seminaire Bourbaki Contributors: W Borha. J.J. Duistermaat. Voi.1970I71 WJ. Harvey, M. Raynaud. J. Stem. J.M. Bony. Exposes 382-399 P Cartier, R. Macpherson. M. Rais. R. Rous- 1972/356 pp./Paper $18.30 sarie. A Vau de Ven. F Hirsch. Z. Janko. ISBN 0-387-05720-X S. Lang. P Malliauin. J. Tits. (Lecture Notes in Mathematics, Volume 244) Contains an index of contributors to the Seminaire since 1967. Seminaire Bourbaki 1978/264 pp./10 lllus./Paper $15.00 Vol.1968 I 69 ISBN 0-387-08937-3 Exposes 364-381 (Lecture Notes in Mathematics, Volume 677) 1971/310 pp./Paper $18.30 ISBN 0-387-05357-3 (Lecture Notes in Mathematics, Volume 180) ~ Seminaire Bourbaki Vol.1975l76 0 LU 0 Seminaire Bourbaki N ~ Exposes 4 71-488 0\ 0\ 8 N Contributors: P Cartier, J.M. Lemaire, J. Le Vol.1969 170 ~ VI 0 Potier. H.P McKean. P Van Moerbeke. J. W Exposes 347-363 ...J Morgan, H. Rosenberg. P Deligne. S. Grigo- § < C2 1971/295 pp./Paper $14.70 u ~~.~~ rieff, G. Poitou. D. Ruelle. J. Stallings. J. Tits, ISBN 0-387-05356-5 z i= u M. Demazure. D. Ferrand. A Gramain, A Gui- VI c:: (Lecture Notes in Mathematics, Volume 179) < 11.1 't:l chardet. J.P Serre. M. Waldschmidt. VI :E "t:l .. ·;;: ~ Contains an index of contributors to the To order, write: LU r::: -VI :J: ...0 Seminaire since 1967. SPRINGER-VERlAG ~ 1- Q. ..."' ::I 1977/303 pp./121llus./Paper $18.30 NEW YORK INC. < < ao~ f..!)"' ISBN 0-387-08064-3 Dept. S3000 44 Hartz Way 11.1 ~ ~ ..c:.... z N ~ (Lecture Notes in Mathematics, Volume 567) Secaucus, New Jersey 07094 ..... ID :! < l( 0 u "'0 ~ 0 Cl.. "'11.1 C2 r::: u LU = ... ·.: ::I 0 ~ 0 ... z < 0..: ~