Automorphic Representations, L-Functions and Applications: Progress and Prospects: Proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, The Ohio State University, March 27-30, 2003

Automorphic Representations, L-Functions and Applications: Progress and Prospects: Proceedings of a conference honoring Steve Rallis on the occasion of his 60th birthday, The Ohio State University, March 27-30, 2003

Author
James W. Cogdell (editor)Dihua Jiang (editor)Stephen S. Kudla (editor)David Soudry (editor)Robert J. Stanton (editor)
Publisher
De Gruyter
Language
English
Edition
Reprint 2011
Year
2005
Page
438
ISBN
9783110892703,9783110179392
File Type
pdf
File Size
15.4 MiB

This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27–30, 2003, in honor of the 60th birthday of Steve Rallis.

The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including

  • Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis)
  • the relative trace formula (Jacquet, Mao–Rallis)
  • automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry)
  • representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi)
  • p-adic methods (Harris–Li–Skinner, Vigneras), and
  • arithmetic applications (Chinta–Friedberg–Hoffstein).

The survey articles by Bump, on the Rankin–Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics.

This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.

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