Proceedings Of The International Conference On Cohomology Of Arithmetic Groups L Functions And Automorphic Forms
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Author | : T. N. Venkataramana |
Publisher | : Alpha Science International, Limited |
Total Pages | : 270 |
Release | : 2001 |
Genre | : Mathematics |
ISBN | : |
This collection of papers is based on lectures delivered at the Tata Institute of Fundamental Research (TIFR) as part of a special year on arithmetic groups, $L$-functions and automorphic forms. The volume opens with an article by Cogdell and Piatetski-Shapiro on Converse Theorems for $GL_n$ and applications to liftings. It ends with some remarks on the Riemann Hypothesis by Ram Murty. Other talks cover topics such as Hecke theory for Jacobi forms, restriction maps and $L$-values, congruences for Hilbert modular forms, Whittaker models for $p$-adic $GL(4)$, the Seigel formula, newforms for the Maass Spezialchar, an algebraic Chebotarev density theorem, a converse theorem for Dirichlet series with poles, Kirillov theory for $GL_2(\mathcal{D})$, and the $L^2$ Euler characteristic of arithmetic quotients. The present volume is the latest in the Tata Institute's tradition of recognized contributions to number theory.
Author | : Jean-Pierre Labesse |
Publisher | : Springer |
Total Pages | : 358 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540468765 |
Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.
Author | : T. N. Venkataramana |
Publisher | : |
Total Pages | : 0 |
Release | : 2001 |
Genre | : |
ISBN | : |
Author | : Gebhard Böckle |
Publisher | : Springer Science & Business Media |
Total Pages | : 377 |
Release | : 2014-01-23 |
Genre | : Mathematics |
ISBN | : 3319038478 |
This volume contains original research articles, survey articles and lecture notes related to the Computations with Modular Forms 2011 Summer School and Conference, held at the University of Heidelberg. A key theme of the Conference and Summer School was the interplay between theory, algorithms and experiment. The 14 papers offer readers both, instructional courses on the latest algorithms for computing modular and automorphic forms, as well as original research articles reporting on the latest developments in the field. The three Summer School lectures provide an introduction to modern algorithms together with some theoretical background for computations of and with modular forms, including computing cohomology of arithmetic groups, algebraic automorphic forms, and overconvergent modular symbols. The 11 Conference papers cover a wide range of themes related to computations with modular forms, including lattice methods for algebraic modular forms on classical groups, a generalization of the Maeda conjecture, an efficient algorithm for special values of p-adic Rankin triple product L-functions, arithmetic aspects and experimental data of Bianchi groups, a theoretical study of the real Jacobian of modular curves, results on computing weight one modular forms, and more.
Author | : Jean-Pierre Labesse |
Publisher | : |
Total Pages | : 368 |
Release | : 2014-09-01 |
Genre | : |
ISBN | : 9783662204887 |
Author | : James W. Cogdell |
Publisher | : Springer |
Total Pages | : 310 |
Release | : 2018-08-18 |
Genre | : Mathematics |
ISBN | : 3319955497 |
This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds. To mark his 66th birthday, the editors brought together mathematical experts to offer an overview of the current state of research in these and related areas. The result is this book, with contributions ranging from topology to arithmetic. It probes the relation between cohomology of arithmetic groups and automorphic forms and their L-functions, and spans the range from classical Bianchi groups to the theory of Shimura varieties. It is a valuable reference for both experts in the fields and for graduate students and postdocs wanting to discover where the current frontiers lie.
Author | : David Ginzburg |
Publisher | : American Mathematical Soc. |
Total Pages | : 315 |
Release | : 2009 |
Genre | : Mathematics |
ISBN | : 0821847066 |
Includes articles that represent global aspects of automorphic forms. This book covers topics such as: 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.
Author | : Rajat Tandon |
Publisher | : Springer |
Total Pages | : 411 |
Release | : 2005-05-01 |
Genre | : Mathematics |
ISBN | : 9386279231 |
Contributed articles presented at the Conference.
Author | : Kartik A. Prasanna |
Publisher | : |
Total Pages | : 132 |
Release | : 2021 |
Genre | : Homology theory |
ISBN | : 9782856299432 |
"We propose a relationship between the cohomology of arithmetic groups, and the motivic cohomology of certain (Langlands-)attached motives. The motivic cohomology group in question is that related, by Beilinson's conjecture, to the adjoint L-function at s=1. We present evidence for the conjecture using the theory of periods of automorphic forms, and using analytic torsion." --
Author | : James Arthur |
Publisher | : American Mathematical Soc. |
Total Pages | : 658 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821852043 |
Illuminate various areas of the study of geometric, analytic, and number theoretic aspects of automorphic forms and their $L$-functions, and both local and global theory are addressed. Topics discussed in the articles include Langlands functoriality, the Rankin-Selberg method, the Langlands-Shahidi method, motivic Galois groups, Shimura varieties, orbital integrals, representations of $p$-adic groups, Plancherel formula and its consequences, and the Gross-Prasad conjecture.