Advances in the theory of automorphic forms and their L-functions / [edited by] Dihua Jiang, Freydoon Shahidi and David Soudry.

Includes bibliographical references.

* 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$_m, (k<m)$ by A.
Ben-Artzi and D. Soudry* 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.

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.