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AMERICAN MATHEMATICAL SOCIETY Nottces Edited by GORDON L. WALKER Contents MEETINGS Calendar of Meetings • • • . • • • • • • • • . • • • • • . • • • • • • 4 Program of the February Meeting in Tucson • • • . • . • . • . 5 Abstracts for the Meeting, pp. 80-84 Program of the February Meeting in New York ••••••••• 10 Abstracts for the Meeting, pp. 85-94 PRELIMINARY ANNOUNCEMENTS OF MEETINGS ••••••.••• 15 ACTIVITIES OF OTHER ASSOCIATIONS ••••••••••••••••• 19 NEWS ITEMS AND ANNOUNCEMENTS •••••••••••••••••• 27 FOREIGN SCIENCE INFORMATION •••••••••.•••••••••• 38 PERSONAL ITEMS •••••••.•••••••••.••••••••••••• 47 NEW PUBLICATIONS ••••••••••••••••••••••••••••. 50 CATALOGUE OF LECTURE NOTES - Supplement No.1 . • • • • • 57 ABSTRACTS OF CONTRIBUTED PAPERS • • • • • • . • • • • • • • • 59 RESERVATION FORM . • . • • • • • • • • • • . • • • • • . • . • • • • • • 99 3 MEETINGS CALENDAR OF MEETINGS NOTE: This Calendar lists all of the meetings which have been approved by the Council up to the date at which this issue of the NOTICES was sent to press, The meeting dates which fall rather far in the future are subject tr change. This is particularly true of the meetings to which no numbers have yet been assigned, Meet­ Deadline ing Date Place for No, Abstracts* 567 April 14-16, 1960 New York, New York Mar. 1 568 April 22-23, 1960 Chicago, Illinois Mar, 1 569 April 22-23, 1960 Berkeley, California Mar, 570 June 18, 1960 Missoula, Montana May 5 571 August 29-September 3, 1960 East Lansing, Michigan July 15 (65th Summer Meeting) 572 October 22, 1960 Worcester, Massachusetts Sept. 8 January 24-27, 1961 Washington, D. C. (67th Annual Meeting) August, 1961 Stillwater, Oklahoma (66th Summer Meeting) January, 1962 Kansas City, Missouri (68th Annual Meeting) August, 1962 Vancouver, British Columbia (67th Summer Meeting) August, 1963 Boulder, Colorado (68th Summer Meeting) *The abstracts of papers to be presented at the meetings must be received i. the Headquarters Offices of the Society in Providence, R.I., on or before these deadlines, The deadlines also apply to news items. ------------------~ The NOTICES of the America~;~ Mathematical Society is published by the Society seven times a year, in February, April, June, August, October, Novem­ ber, and December, Price per annual volume is $7.00, Price per copy, $2.00, Special price for copies sold at registration desks of meetings of the Society, $1.00 per copy. Subscriptions, orders for back numbers (none available before 1958), and inquiries should be addressed to the American Mathematical Soci~ty, Ann Arbor, Michigan, or 190 Hope Street, Providence 6, Rhode Island. Second-class postage paid at Ann Arbor, Michigan. Authorization is granted under the authority of the act of August 24, 1912, as amended by the act of August 4,1947 (Sec, 3421, P. L. and R.). Accepted for mailing at the special rate of postage provided for in section 34-40, paragraph (d), Copyright, @,American Mathematical Society, 1960 Printed in the United States of America 4 FIVE HUNDRED SIXTY-FIFTH MEETING University of Arizona Tucson, Arizona February 18-20, 1960 PROGRAM The five hundred sixty-fifth meeting of the American Mathe­ matical Society will be held on Thursday, Friday and Saturday, February 18-20, 1960 at the University of Arizona, Tucson, Arizona. This extraordinary meeting of the ar Western Section of the Society as planned as a part of the seventy-fifth anniversary celebration of the University of Arizona. By invitation of the Committee to Select Hour Speakers for Far Western Sectional Meetings, and with the financial support of the National Science Foundation, a Symposium on Differential Geometry Will be held on Thursday and Friday in Room 222, Liberal Arts Build­ ing. By invitation of the same Committee, there will be an address at 9:30A.M. on Saturday by Professor T. S. Motzkin of the University of California, Los Angeles on "Convex sets in analysis" in Room 222, Liberal Arts Building. Sessions for contributed papers will be held on Saturday at 11:00 A.M. in Rooms 114, 206 and 222, Liberal Arts Building. Ab­ stracts of the papers to be presented at these sessions appear on pages 80 - 84 of these NOTICES. There are cross references to the abstracts in the program. For example, the title to paper (1) in the program is followed by (565-3) indicating that the abstract can be around under the designation 565-3 among the published abstracts. The registration desk will be located in the Student Union Build­ ing. It will be open from Wednesday evening until Saturday morning. Information concerning late papers can be obtained at the registration desk. Luncheon will be served on Thursday and Friday in the Junior Ball Room of the Student Union Building. Arrangements for lunch on Saturday will be announced later. An extensive program of entertainment is planned for mem­ bers and their families attending this meeting. The events include a odeo Parade at 10:00 A.M. on Thursday, Tea at 5:00P.M. Thursday the Kress Gallaries on the campus, a tour of the State Museum on afternoon, and a banquet with entertainment on Friday evening. The other activities, tours and a fashion show will be available s sufficient interest. 5 Tucson is served by American, Continental, Frontier and Trans-World Airlines, by Southern Pacific Railroad, and by Grey­ hound Bus Lines. The principal highway through Tucson is U.s. 80-89. Special parking permits entitling the bearer to reserved parking will be available at the registration desk for fifty cents for the three days. There is usually adequate parking off campus, how­ ever. PROGRAM OF THE SYMPOSIUM ON DIFFERENTIAL GEOMETRY The Program Committee for the Symposium consisted of Professor C. B. Allendoerfer, chairman, Professors Herbert Buse­ mann, Hans Samelson and D. C. Spencer. They will also serve as chairmen of the four sessions. All sessions of the Symposium will meet in Room 222, Liberal Arts Building. THURSDAY, 9:00A.M. 9:00 - 10:00 A report on the unitary group Professor Raoul Bott, Harvard University 10:15- 10:45 On compact, Riemannian manifolds with constant, negative curvature Professor Eugenio Calabi, University of Minnesota 10:45- 11:15 Elementary remarks on surfaces with curvature of fixed sign Professor Louis Nirenberg, New York University 11:15 - 11:45 Spaces of non-positive curvature Professor Shoshichi Kobayashi, University of British Columbia THURSDAY, 2:00P.M. 2:00 - 3:00 Some remarks on homological analysis and structures Professor D. C. Spencer, Princeton University 3:15 - 3:45 Almost product structures Professor A. G. Walker, University of Liverpool and University of Washington 3:45- 4:15 Differential-geometric methods in the study of families complex structures Professor Albert Nijenhuis, University of V ton 6 4:15- 4:45 Complex homogeneous contact manifolds Professor W. M. Boothby, Washington University FRIDAY, 9:00A.M. 9:00 - 10:00 Vector bundles and homogeneous spaces Professor F. E. P. Hirzebruch, University of Bonn and Institute for Advanced Study 10:15 - 10:45 Algebraic homogeneous spaces and the cohomology of nil­ potent Lie algebras Professor Bertram Kostant, University of Califor­ nia, Berkeley 10:45- 11:15 Locally affine spaces and uniform subgroups of Lie groups Professor Louis Auslander, Indiana University 11:15 - 11:45 The cohomology of Lie rings and the lifting of group actions to fibre bundles Dr. R. S. P ala is, Institute for Advanced Study FRIDAY, 2:00P.M. 2:00 - 3:00 A procedure of killing homotopy groups of differentiable mani­ folds Professor John Milnor, Princeton University and University of California, Berkeley 3:15 - 3:45 The Alexander-Pontrjagin duality in function space Professor James Eells, Jr., Columbia University 3:45 - 4:15 Total curvature of immersed manifolds -- some problems Dr. R. K. Lashof, University of Chicago 4:15 - 4:45 On immersion of manifolds Professor Hans Samelson, University of Michigan 7 PROGRAM OF THE SESSIONS The time limit for each contributed paper is ten minutes. The contributed papers are scheduled at 15 minute intervals so that listeners can circulate between the different sessions. To maintain this schedule, the time limit will be strictly enforced. SATURDAY, 9:30A.M. Invited Address, Room ZZZ, Liberal Arts Building Convex sets in analysis Professor T. S. Motzkin, University of California, Los Angeles SATURDAY, 11:00 A.M. Session on Algebra, Room 114, Liberal Arts Building 11:00 - 11:10 (1) Commutators of unitary matrices which commute with one factor Dr. Olga Taus sky, California Institute of Technology (565-3) 11:15 - 11:Z5 (Z) A theorem on independence of two-element primal alge­ bras Dr. E. S. O'Keefe, Boeing Airplane Company, Seattle, Washington (565-7) 11:30 - 11:40 (3) Reduction mod-p of divisor classes and linear series. Preliminary report Professor E. D. Nering, University of Arizona (565-8) Session on Geometry and Topology, Room, Z06, Liberal Arts Building 11:00 - 11:10 (4) On axioms of the n dimensional projective space Professor A. Zirakzadeh, University of Colorado (565-6) (Introduced by Professor R. W. McKelvey) 11:15 - ll:Z5 (5) Cyclic order of strictly monotone arcs Professors. B. jackson, University of Maryland and University of Washington (565-5) 11:30 - 11:40 (6) Isotopy classes in En and sn Dr. j. M. Kister, University of Michigan (565-9) 8 Session on Statistics and Applied Mathematics, Room 222, Liberal Arts Building 11:00 - 11:10 (7) A lower bound for the distribution of the statistic Dri: Professor J. B. Butler, Jr., University of Arizona, and Mr. R. C. McCarty, Boeing Airplane Company, Seattle, Washington (565-2) 11:15 - 11:25 (8) Asymptotic& I. Laplace's method for multiple integrals Professor W. B. Fulks and Mr. J. 0. Sather, University of Minnesota (565-4) 11:30 - 11:40 (9) Mathematical analysis of the expansion process within a turbine Professor M.A. Dengler, Arizona State University (565-1) SUPPLEMENTARY PROGRAM (To be presented by title) (10) Concerning the bounded linear transformations in a cer­ tain function Hilbert space.
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