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

ISBN
9781470417093
Publisert
2016-04-01
Utgiver
Vendor
American Mathematical Society
Høyde
254 mm
Bredde
178 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
376

Om bidragsyterne

Dihua Jiang, University of Minnesota, Minneapolis, MN, USA.

Freydoon Shahidi, Purdue University, West Lafayette, IN, USA.

David Soudry, Tel Aviv University, Israel.