Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria

書誌事項

Advances in the theory of automorphic forms and their L-functions : workshop in honor of James Cogdell's 60th birthday, October 16-25, 2013, Erwin Schrödinger Institute, University of Vienna, Vienna, Austria

Dihua Jiang, Freydoon Shahidi, David Soudry, editors

(Contemporary mathematics, v. 664)

American Mathematical Society, c2016

タイトル別名

Automorphic forms and L-functions

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注記

Includes bibliographical references

内容説明・目次

内容説明

This volume contains the proceedings of the workshop on ``Advances in the Theory of Automorphic Forms and Their $L$-functions'' held in honor of James Cogdell's 60th birthday, held from October 16-25, 2013, at the Erwin Schrodinger Institute (ESI) at the University of Vienna. The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their $L$-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of $p$-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, $L$-functions for classical groups, special values of $L$-functions, Howe duality, subconvexity for $L$-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on $L$-functions, nodal sets and geometry.

目次

Local transfer and reducibility of induced representations of $p$-adic groups of classical type by M. Asgari, J. W. Cogdell, and F. Shahidi Shintani relation for base change: Unitary and elliptic representations by A. I. Badulescu and G. Henniart On $L$-functions for $U_{2k} x R_{E/F}$GL$_m, (k On the Howe duality conjecture in classical theta correspondence by W. T. Gan and S. Takeda Whittaker rational structures and special values of the Asai $L$-function by H. Grobner, M. Harris, and E. Lapid Character sums of composite moduli and hybrid subconvexity by R. Holowinsky, R. Munshi, and Z. Qi A linear algebra description of $K_\mathbb{C}\setminus G_\mathbb{C}/B_\mathbb{C}$ for classical groups by R. Howe Germs for Kloosterman integrals, a review by H. Jacquet Fourier coefficients for automorphic forms on quasisplit classical groups by D. Jiang and B. Liu A generalized Casselman-Shalika formula on $GL_N$ by J.-L. Kim A conditional construction of Artin representations for real analytic Siegel cusp forms of weight (2,1) by H. H. Kim and T. Yamauchi Another product for a Borcherds form by S. Kudla On Whittaker-Fourier coefficients of automorphhic forms on unitary groups: Reduction to a local identity by E. Lapid and Z. Mao Introduction to plectic cohomology by J. Nekovar and A. J. Scholl A comparison of automorphic and Artin $L$-series of GL(2)-type agreeing at degree one primes by K. Martin and D. Ramakrishnan Topologies of nodal sets of random band limited functions by P. Sarnak and I. Wigman Geometric cycles, classical groups and related cohomology classes for arithmetic groups by J. Schwermer and C. Waldner

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