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Anaheim Meetings Oanuary 9 -13) - Page 15 Notices of the American Mathematical Society January 1985, Issue 239 Volume 32, Number 1, Pages 1-144 Providence, Rhode Island USA ISSN 0002-9920 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 the press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the American 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 supplementary 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 meeting. Abstracts should be submitted on special forms which are available in many departments of mathematics and from the office of the Society. Abstracts must be accompanied by the Sl5 processing charge. 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 abstracts for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcements and the list of organizers of special sessions. MEETING# DATE PLACE ABSTRACT DEADLINE ISSUE 816 January 9-13, 1985 Anaheim, California EXPIRED january (91 st Annual Meeting) 817 March 22-23, 1985 Chicago, Illinois january 23 March 818 April 12-13, 1985 Tucson, Arizona january 25 March 819 April 20-21, 1985 Worcester, Massachusetts january 28 March 820 May 3-4, 1985 Mobile, Alabama january 30 March 821 August 12-15, 1985 Laramie, Wyoming (89th Summer Meeting) October 26-27, 1985 Amherst, Massachusetts November 1-2, 1985 Columbia, Missouri january 7-11, 1986 New Orleans, Louisiana (92nd Annual Meeting) january 21-25, 1987 San Antonio, Texas (93rd Annual Meeting) january 6-11, 1988 Atlanta, Georgia (94th Annual Meeting) August 8-12, 1988 Providence, Rhode Island (AMS Centennial Celebration) DEADLINES: Advertising (March 1985 Issue) February 7, 1985 (June 1985 Issue) April 24, 1985 News/Special Meetings (March 1985 Issue) january 25, 1985 (June 1985 Issue) April 8, 1985 Other Events Sponsored by the Society May 1985, Symposium on Some Mathematical Questions in Biology, Plant Biology, Los Angeles, California. june 23-August 31, 1985, Joint Summer Research Conferences in the Mathematical Sciences, Humboldt State University, Arcata, California. June 30-july 13, 1985, AMS-SIAM Summer Seminar on Reacting Flows: Combustion and Chemical Re actors, Cornell University, Ithaca, New York. July 8-26, 1985, AMS Summer Research Institute on Algebraic Geometry, Bowdoin College, Brunswick, Maine. Suscribers' changes of address should be reported well in advance to avoid disruption of service: address labels are prepared four to six weeks in advance of the date of mailing. Requests for a change of address should a/ways include the member or subscriber code and preferably a copy of the entire mailing label. Members are reminded that U. S. Postal Service change-of-address forms are not adequate for this purpose. since they make no provision for several important items of information which are essential for the AMS records. Sutitable forms are published from time to time in the Notices (e.g. October 1984. page 728). Send change of address notices to the Soceity at Post Office Box 6248. Providence, Rl 02940. (Notices is published seven times a year (January, March. June. August. October. November. December) by the American Mathematical Society at 201 Charles Street. providence. Rl 02904. Second class postage paid at Providence. Rl and additional mailing offices. POSTMASTER: Send address change notices to Membership and Sales Department. American Mathematical Scoeity. P. 0. Box 6248. Providence. Rl 02940.) Publication here of the Society's street address. and the other information in brackets above. is a technical requirement of the U. S. Postal Service. All correspondence should be mailed to the Post Office Box. NOT the street address. Members are strongly urged to notify the Society themselves of address changes. since reliance on the postal service change-of-address forms is liable to cause delays in processing such requests in the AMS office. Notices of the American Mathematical Society EDITORIAL COMMITTEE Volume 32, Number 1, January 1985 Paul F. Baum, Ralph P. Boas Raymond L. johnson, Mary Ellen Rudin Betram Walsh, Daniel Zelinsky Everett Pitcher (Chairman) MANAGING EDITOR Lincoln K. Durst ASSOCIATE EDITORS Hans Samelson, Queries Ronald L. Graham, Special Articles SUBSCRIPTION INFORMATION Subscription prices for Volume 32 (1985) are $65 list; $52 institutional member; 2 The Bierbach Conjecture: Retrospective $39 individual member. (The subscription Carl H. Fitzgerald price for members is included in the 7 News and Announcements annual dues.) A late charge of 10% of the subscription price will be imposed upon 9 Queries orders received from nonmembers after January 1 of the subscription year. Sub 11 NSF News & Reports scribers outside the United States and 13 News From Washington India must pay a postage surcharge of $5; subscribers in India must pay a 15 Future Meetings of the Society postage surcharge of $15. Subscrip- Anaheim, january 9-73, 15 tions and orders for AMS publications Chicago, March 22-23, 70 should be addressed to the American Mathematical Society, P.O. Box 1571, Tucson, April12-13, 73 Annex Station, Providence, Rl 02901. Worcester, April 20-21, 76 All orders must be prepaid. Mobile, May 3-4, 78 ADVERTISING & INQUIRIES The Notices publishes situations Symposium on Mathematical Biology, Los wanted and classified advertising, Angeles, May, 81 and display advertising for publishers 1985 AMS-SIAM Summer Seminar, 82 and academic or scientific organiza tions. Requests for information: 1985 Summer Research Institute, 83 Advertising: Wahlene Siconio Invited Speakers and Special Sessions, 86 Change of address or subscriptions: 87 Joint Summer Research Conference Series Eileen Linnane Book Order number 800-556-7774. 88 Special Meetings 94 New AMS Publications CORRESPONDENCE, including changes of address should be sent to American 97 Miscellaneous Mathematical Society, P.O. Box 6248, Personal Items, 97; Deaths, 97; Providence, Rl 02940. Visiting Mathematicians (Supplement), 97 Second class postage paid at 98 AMS Reports and Communications Providence, Rl, and additional mailing offices. Copyright © 1984 by the Recent Appointments, 98; American Mathematical Society. Reports of Past Meetings: 1984 Symposium Printed in the United States of America. on Mathematical Biology, 99; 1984 AMS The paper used in this journal is acid-free SIAM Summer Seminar, 100 and falls within the guidelines established to ensure permanence and durability. 101 Advertisements The Bieberbach Conjecture: Retrospective by Carl H. FitzGerald For me, 1984 will recall the exciting word that [11, 24], The New York Times [29], Scientific the Bieberbach conjecture was solved. There had American [37] and the Purdue University student been rumors, then in late spring I received a 385 newspaper [40]. Suddenly Louis de Branges was page typed manuscript [9] of Louis de Branges of famous among mathematicians and known to all Purdue University purporting to give a proof. people with an interest in mathematics. There I was not hoping for the proof to be correct. was agreement that his illustrious solution was Two of my best papers [15, 16] showed the correct. Bieberbach conjecture was at least close to being With acceptance came many questions. How true. One showed the conjectured upper bounds was this proof missed all these years? Should on the magnitudes of coefficients of one-to-one Loewner have solved the problem fifty years ago? analytic functions were at most a few percent Is this mathematical progress? What of the off. The other showed the conjectured extremal scores of papers made obsolete by de Branges's function was at least approximately the extremal results? Were those papers the contributions function for late coefficients. I did not want these they were thought to be? Is progress made results superseded. by an accumulation of small insights or by an Aside from personal feelings, there were objec independent breakthrough? Were the methods tive reasons I was reluctant to take the manuscript developed in the efforts to solve the Bieberbach seriously. There were errors; and de Branges had conjecture important? made critical errors in previous work. Further The history of the Bieberbach conjecture makes more, many mathematicians have momentarily an interesting case study. Since there is an thought they had solved this particular problem. immense literature [4] and several surveys [3, 12, ("The Bieberbach conjecture is not difficult; I have 13, 18, 19, 38] only a sample of the highlights proved it dozens of times.") Then in mid-summer will be mentioned. The selection will be made I received a 13 page handwritten draft of a paper to present the path to de Branges's proof most in Russian on de Branges's proof the Bieberbach clearly. conjecture (cf. [7, 8]). The preprint was the We start with a comparatively elementary result of the geometric function theory seminar in theory. In the first decade of this century, the Leningrad which included G. V. Kuz'mina, E. G. coefficients of positive real part functions were Emel'anov and I. M. Milin. Louis de Branges had studied [39]. In particular the following bounds been visiting there and giving lectures. were found on the coefficients of the power series There was great excitement. Was the proof expansions. Let P(z) be analytic on the unit disk correct? (It is difficult to think about mathematics [) = {z: \z\ < 1}, satisfy ReP(z) > 0 on[), and be carefully when one's adrenalin level is high.) Ch.