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Advances in the Theory of Automorphic Forms and Their $L$-functions
 
Edited by: Dihua Jiang University of Minnesota, Minneapolis, MN
Freydoon Shahidi Purdue University, West Lafayette, IN
David Soudry Tel Aviv University, Tel Aviv, Israel
Front Cover for Advances in the Theory of Automorphic Forms and Their $L$-functions
Available Formats:
Electronic ISBN: 978-1-4704-3005-4
Product Code: CONM/664.E
376 pp 
List Price: $108.00
MAA Member Price: $97.20
AMS Member Price: $86.40
Front Cover for Advances in the Theory of Automorphic Forms and Their $L$-functions
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  • Front Cover for Advances in the Theory of Automorphic Forms and Their $L$-functions
  • Back Cover for Advances in the Theory of Automorphic Forms and Their $L$-functions
Advances in the Theory of Automorphic Forms and Their $L$-functions
Edited by: Dihua Jiang University of Minnesota, Minneapolis, MN
Freydoon Shahidi Purdue University, West Lafayette, IN
David Soudry Tel Aviv University, Tel Aviv, Israel
Available Formats:
Electronic ISBN:  978-1-4704-3005-4
Product Code:  CONM/664.E
376 pp 
List Price: $108.00
MAA Member Price: $97.20
AMS Member Price: $86.40
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6642016
    MSC: Primary 11; 22;

    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 Schrödinger 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.

    Readership

    Graduate students and research mathematicians interested in automorphic forms and number theory.

  • Table of Contents
     
     
    • Articles
    • Mahdi Asgari, James W. Cogdell and Freydoon Shahidi - Local transfer and reducibility of induced representations of $p$-adic groups of classical type
    • A. I. Badulescu and G. Henniart - Shintani relation for base change: unitary and elliptic representations
    • Asher Ben-Artzi and David Soudry - On $L$-functions for $\textup {U}_{2k}\times \textup {R}_{E/F}\textup {GL}_m$, ($k<m$)
    • Wee Teck Gan and Shuichiro Takeda - On the Howe duality conjecture in classical theta correspondence
    • Harald Grobner, Michael Harris and Erez Lapid - Whittaker rational structures and special values of the Asai $L$-function
    • Roman Holowinsky, Ritabrata Munshi and Zhi Qi - Character sums of composite moduli and hybrid subconvexity
    • Roger Howe - A linear algebra description of $K_{\mathbb C}\setminus G_{\mathbb C} / B_{\mathbb C}$ for classical groups
    • Hervé Jacquet - Germs for Kloosterman integrals, a review
    • Dihua Jiang and Baiying Liu - Fourier coefficients for automorphic forms on quasisplit classical groups
    • Ju-Lee Kim - A generalized Casselman–Shalika formula on $GL_{N}$
    • Henry H. Kim and Takuya Yamauchi - A conditional construction of Artin representations for real analytic Siegel cusp forms of weight $(2,1)$
    • Stephen Kudla - Another product for a Borcherds form
    • Erez Lapid and Zhengyu Mao - On Whittaker–Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity
    • J. Nekovář and A. J. Scholl - Introduction to plectic cohomology
    • Kimball Martin and Dinakar Ramakrishnan - A comparison of automorphic and Artin L-series of GL(2)-type agreeing at degree one primes
    • Peter Sarnak and Igor Wigman - Topologies of nodal sets of random band limited functions
    • Joachim Schwermer and Christoph Waldner - Geometric cycles, classical groups and related cohomology classes for arithmetic groups
  • Additional Material
     
     
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Volume: 6642016
MSC: Primary 11; 22;

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 Schrödinger 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.

Readership

Graduate students and research mathematicians interested in automorphic forms and number theory.

  • Articles
  • Mahdi Asgari, James W. Cogdell and Freydoon Shahidi - Local transfer and reducibility of induced representations of $p$-adic groups of classical type
  • A. I. Badulescu and G. Henniart - Shintani relation for base change: unitary and elliptic representations
  • Asher Ben-Artzi and David Soudry - On $L$-functions for $\textup {U}_{2k}\times \textup {R}_{E/F}\textup {GL}_m$, ($k<m$)
  • Wee Teck Gan and Shuichiro Takeda - On the Howe duality conjecture in classical theta correspondence
  • Harald Grobner, Michael Harris and Erez Lapid - Whittaker rational structures and special values of the Asai $L$-function
  • Roman Holowinsky, Ritabrata Munshi and Zhi Qi - Character sums of composite moduli and hybrid subconvexity
  • Roger Howe - A linear algebra description of $K_{\mathbb C}\setminus G_{\mathbb C} / B_{\mathbb C}$ for classical groups
  • Hervé Jacquet - Germs for Kloosterman integrals, a review
  • Dihua Jiang and Baiying Liu - Fourier coefficients for automorphic forms on quasisplit classical groups
  • Ju-Lee Kim - A generalized Casselman–Shalika formula on $GL_{N}$
  • Henry H. Kim and Takuya Yamauchi - A conditional construction of Artin representations for real analytic Siegel cusp forms of weight $(2,1)$
  • Stephen Kudla - Another product for a Borcherds form
  • Erez Lapid and Zhengyu Mao - On Whittaker–Fourier coefficients of automorphic forms on unitary groups: reduction to a local identity
  • J. Nekovář and A. J. Scholl - Introduction to plectic cohomology
  • Kimball Martin and Dinakar Ramakrishnan - A comparison of automorphic and Artin L-series of GL(2)-type agreeing at degree one primes
  • Peter Sarnak and Igor Wigman - Topologies of nodal sets of random band limited functions
  • Joachim Schwermer and Christoph Waldner - Geometric cycles, classical groups and related cohomology classes for arithmetic groups
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