Automorphic forms and related geometry : assessing the legacy of I.I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : Assessing the Legacy of I.I. Piatetski-Shapiro : April 23-27, 2012, Yale University, New Haven, CT

書誌事項

Automorphic forms and related geometry : assessing the legacy of I.I. Piatetski-Shapiro : Conference on Automorphic Forms and Related Geometry : Assessing the Legacy of I.I. Piatetski-Shapiro : April 23-27, 2012, Yale University, New Haven, CT

James W. Cogdell, Freydoon Shahidi, David Soudry, editors

(Contemporary mathematics, 614)

American Mathematical Society, c2014

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注記

Contributions in English and French

Includes bibliographical references

内容説明・目次

内容説明

This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global L -functions and their periods; p -adic L -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

目次

  • J. Arthur - On parameters for the group SO(2n) J. W. Cogdell - Piateski-Shapiro's work on converse theorems S. Gelbart, S. D. Miller, A. Panchishkin, and F. Shahidi - A p -adic integral for the reciprocal of L -functions S. Gindikin - Harmonic analysis on symmetric spaces as complex analysis M. Harris - Testing rationality of coherent cohomology of Shimura varieties H. Hida - Hecke fields of Hilbert modular analytic families R. Howe and S. T. Lee - Structure of holomorphic unitary representations: The case of U 2,2 H. Jacquet - Mellin transform of Whittaker functions D. Jiang - Automorphic integral transforms for classical groups I: Endoscopy correspondences J.-L. Kim - An inductive formula for ? -factors E. Lapid and Z. Mao - On a new functional equation for local integrals C. Mœglin - Paquets stables des séries discrètes accessibles par endoscopie tordue
  • leur paramètre de Langlands N. B. Châu - On a certain sum of automorphic L -functions A. Panchishkin - Analytic constructions of p -adic L -functions and Eisenstein series J. W. Cogdell, F. Shahidi, and T.-L. Tsai - On stability of root numbers C. Skinner - Cap forms, Eisenstein series, and some arithmetic applications D. Soudry - Automorphic descent: An outgrowth from Piatetski-Shapiro's vision M. Friedman and M. Teicher - On the singularities of branch curves of K3 surfaces and applications

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