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This volume contains the proceedings of the Building Bridges: 3rd EU/US Summer School and Workshop on Automorphic Forms and Related Topics, which was held in Sarajevo from July 11-22, 2016. The articles summarize material which was presented during the lectures and speed talks during the workshop.These articles address various aspects of the theory of automorphic forms and its relations with the theory of L-functions, the theory of elliptic curves, and representation theory.In addition to mathematical content, the workshop held a panel discussion on diversity and inclusion, which was chaired by a social scientist who has contributed to this volume as well.This volume is intended for researchers interested in expanding their own areas of focus, thus allowing them to \"build bridges\" to mathematical questions in other fields.

This book contains papers presented at the Hans Rademacher Centenary Conference, held at Pennsylvania State University in July 1992. The astonishing breadth of Rademacher's mathematical interests is well represented in this volume. The papers collected here range over such topics as modular forms, partitions and $q$-series, Dedekind sums, and Ramanujan type identities. Rounding out the volume is the opening paper, which presents a biography of Rademacher. This volume is a fitting tribute to a remarkable mathematician whose work continues to influence mathematics today.

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.

This book contains papers presented at the Hans Rademacher Centenary Conference, held at Pennsylvania State University in July 1992. The astonishing breadth of Rademacher's mathematical interests is well represented in this volume. The papers collected here range over such topics as modular forms, partitions and q-series, Dedekind sums, and Ramanujan type identities. Rounding out the volume is the opening paper, which presents a biography of Rademacher. This volume is a fitting tribute to a remarkable mathematician whose work continues to influence mathematics today.

This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda's 60th birthday. It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as a guide to developing areas as well as a resource for researchers who seek a broader view and for students who are beginning to explore automorphic form.Sample Chapter(s)Chapter 1: The Birch and Swinnerton-Dyer conjecture for Q-curves and Oda's period relations (424 KB)Contents: The Birch and Swinnerton-Dyer Conjecture for ℚ-Curves and Oda's Period Relations (Henri Darmon, Victor Rotger and Yu Zhao)The Supremum of Newton Polygons of p-Divisible Groups with a given p-Kernel Type (Shushi Harashita)Borcherds Lifts on Sp2(ℤ) (Bernhard Heim and Atsushi Murase)The Archimedean Whittaker Functions on GL(3) (Miki Hirano, Taku Ishii and Tadashi Miyazaki)Arithmetic Properties of p-Adic Elliptic Logarithmic Functions (Noriko Hirata-Kohno)Spherical Functions on U(2n)/ (U(n) x U(n)) and Hermitian Siegel Series (Yumiko Hironaka)Fourier Transforms of Weighted Orbital Integrals on the Real Symplectic Group of Rank Two (Werner Hoffmann)An Atkin-Lehner Type Theorem on Siegel Modular Forms and Primitive Fourier Coefficients (T Ibukiyama and H Katsurada)Cohomology of Siegel Modular Varieties of Genus 2 and Corresponding Automorphic Forms (Takayuki Oda)Reducibility and Discrete Series in the Case of Classical p-Adic Groups; An Approach Based on Examples (Marko Tadić)A Survey on Voronoï's Theorem (Takao Watanabe)Readership: Professionals, researchers and graduate students in geometry and analysis of automorphic forms.

This volume contains contributions of principal speakers of the symposium on geometry and analysis of automorphic forms of several variables, held in September 2009 at Tokyo, Japan, in honor of Takayuki Oda's 60th birthday. It presents both research and survey articles in the fields that are the main themes of his work. The volume may serve as a guide to developing areas as well as a resource for researchers who seek a broader view and for students who are beginning to explore automorphic form.

This volume carries the same title as that of an international conference held at the National University of Singapore, 9–11 January 2006 on the occasion of Roger E. Howe's 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe's mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications.

This book is the first of two volumes, which represent leading themes of current research in automorphic forms and representation theory of reductive groups over local fields. Articles in this volume mainly represent global aspects of automorphic forms. Among the topics are the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions. The articles are written by leading researchers in the field, and bring the reader, advanced graduate students and researchers alike, to the frontline of the vigorous research in these deep, vital topics. The companion volume (\"\"Contemporary Mathematics, Volume 489\"\") is devoted to local aspects of automorphic forms.