Advances in the Theory of Automorphic Forms and Their $L$-functions
Published on 1. April 2016
Book
Paperback/Softback
376 pages
978-1-4704-1709-3 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
ISBN-13
978-1-4704-1709-3 (9781470417093)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Dihua Jiang, University of Minnesota, Minneapolis, MN, USA.
Freydoon Shahidi, Purdue University, West Lafayette, IN, USA.
David Soudry, Tel Aviv University, Israel.
Freydoon Shahidi, Purdue University, West Lafayette, IN, USA.
David Soudry, Tel Aviv University, Israel.
Content
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
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