Elliptic Curves and Modular Forms in Algebraic Topology Proceedings
A small conference was held in September 1986 to discuss new applications of elliptic functions and modular forms in algebraic topology, which had led to the introduction of elliptic genera and elliptic cohomology. The resulting papers range, fom these to
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1326 P. S. Landweber (Ed.)
Elliptic Curves and Modular Forms in Algebraic Topology Proceedings of a Conference held at the Institute for Advanced Study Princeton, Sept. 15-17, 1986
Spri nger-Verlag Berlin Heidelberg New York London Paris Tokyo
Editor
Peter S. Landweber Department of Mathematics, Rutgers University New Brunswick, NJ 08903, USA
Mathematics Subject Classification (1980): 11 F 11, 33A25, 33A45, 55N 22, 57S15,81E99 ISBN 3-540-19490-8 Springer-Verlag Berlin Heidelberg New York ISBN 0-387 -19490-8 Springer-Verlag New York Berlin Heidelberg
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Preface This volume contains the proceedings of a conference held September 15-17, 1986 at the Institute for Advanced Study in Princeton, New Jersey. The introductory article provides an account of the recent history of the field of elliptic genera and elliptic cohomology, the central theme of the conference. The main surprise at the conference was that its original conception was too narrow, and that geometry and physics also enter prominently into this area.
For this, see the paper by Ed Witten.
I am grateful to Noriko Yui for permitting her paper on the formal groups of Jacobi quartics, an especially relevant topic for the study of elliptic genera, to be included in this volume. Thanks are due to David and Gregory Chudnovsky for the suggestion to hold such a conference, and to Bob Stong for substantial advice throughout.
It is also a pleasure to thank the School of Mathematics at
the Institute for Advanced study, for providing the setting for the conference, and especially Linda Sheldon for much aid. support was provided by the National Science Foundation.
Partial financial
Conference Talks S. Ochanine, Elliptic genera for 51 manifolds P. Landweber, Periodic cohomology theories defined by elliptic curves D. Chudnovsky and G. Chudnovsky, Elliptic formal groups over I and F p in applications to topology, number theory and computer science R. Stong, Dirichlet series and homology theories D. Ravenel, BP-theory for number theorists M. Hopkins, Characters and generalized cohomology J. Morava, The Weil group as automorphisms of the extraordinary K-theories D. Zagier, Modular forms, elliptic functions, Jacobi forms E. Witten, Elliptic genera and quantum field theory J. Lepowsky, Infinite dimentional algebras and modular functions J. Stasheff, Homotopical Lie repre
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