Functional Analysis on the Eve of the 21st Century Volume I: In Hono
A four-day conference, "Functional Analysis on the Eve of the Twenty First Century," was held at Rutgers University, New Brunswick, New Jersey, from October 24 to 27, 1993, in honor of the eightieth birthday of Professor Israel Moiseyevich Gelfand. He wa
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Series Editors Hyman Bass Joseph Oesterle Alan Weinstein
Functional Analysis on the Eve of the 21st Century Volume I
In Honor of the Eightieth Birthday of I. M. Gelfand Simon Gindikin James Lepowsky Robert L. Wilson Editors
Birkhauser Boston • Basel • Berlin
Simon Gindikin Department of Mathematics Rutgers University New Brunswick, NJ 08903
James Lepowsky Department of Mathematics Rutgers University New Brunswick, NJ 08903
Robert L. Wilson Department of Mathematics Rutgers University New Brunswick, NJ 08903
Library of Congress Cataloging-in-Publication Data Functional analysis on the eve of the 21 st century in honor of the 80th birthday 0fI. M. Gelfand I [edited) by S. Gindikin, 1. Lepowsky, R. Wilson. p. cm. -- (Progress in mathematics ; vol. 131) Includes bibliographical references. ISBN-13:978-1-4612-7590-9 e-ISBN-13:978-1-4612-2582-9 DOl: 10.1007/978-1-4612-2582-9 1. Functional analysis. I. Gel'fand, I. M. (lzraU' Moiseevich) II. Gindikin, S. G. (Semen Grigor'evich) III. Lepowsky, J. (James) IV. Wilson, R. (Robert), 1946- . V. Series: Progress in mathematics (Boston, Mass.) ; vol. 131. 95-20760 QA321.F856 1995 CIP 515'.7--dc20 Printed on acid-free paper
© 1995 Birkhliuser Boston Softcover reprint of the hardcover 1st edition 1995
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I. M. Gelfand
Contents Volume I
Preface Speakers at Conference in Honor of I. M. Gelfand Curriculum Vitae of I. M. Gelfand List of Publications: 1987-1995 A Tribute to 1. M. Gelfand by 1. M. Singer . . .
ix xi . XlI
xiii xix
Connection Formulas in the q-analog de Rham Cohomology by Kazuhiko Aomoto .............. .
1
Lagrangian Models of Minimal Representations of E 6 , E7 and Es by Ranee Brylinski and Bertram K ostant ...... Trigonometric Solutions of the Yang-Baxter Equation, Nets, and Hypergeometric Functions by Igor B. Frenkel and Vladimir G. Turaev .
. . . . 13
. . . . . . 65
Analogies between the Langlands Correspondence and Topological Quantum Field Theory by M. M. Kapranov . . . . . . . . . . . . . . . . . . . . .
119
"Forms" of the Principal Series for GL n by David K azhdan . . . . . . . .
153
Geometry of Determinants of Elliptic Operators by Maxim Kontsevich and
