Proceedings Of The International Conference On Cohomology Of Arithmetic Groups L Functions And Automorphic Forms
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Proceedings Of The International Conference On Cohomology Of Arithmetic Groups L Functions And Automorphic Forms
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Author : T. N. Venkataramana
language : en
Publisher: Alpha Science International, Limited
Release Date : 2001
Proceedings Of The International Conference On Cohomology Of Arithmetic Groups L Functions And Automorphic Forms written by T. N. Venkataramana and has been published by Alpha Science International, Limited this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
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.
Cohomology Of Arithmetic Groups And Automorphic Forms
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Author : Jean-Pierre Labesse
language : en
Publisher: Springer
Release Date : 2006-11-14
Cohomology Of Arithmetic Groups And Automorphic Forms written by Jean-Pierre Labesse and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
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.
Proceedings Of The International Conference On Cohomology Of Arithmetic Groups L Funcions And Automorphic Forms Mumbai 1998
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Author : T. N. Venkataramana
language : en
Publisher:
Release Date : 2001
Proceedings Of The International Conference On Cohomology Of Arithmetic Groups L Funcions And Automorphic Forms Mumbai 1998 written by T. N. Venkataramana and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
Cohomology Of Arithmetic Groups L Functions And Automorphic Forms
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Author : T. N. Venkataramana
language : en
Publisher:
Release Date : 2001
Cohomology Of Arithmetic Groups L Functions And Automorphic Forms written by T. N. Venkataramana and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
L Functions And Automorphic Forms
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Author : Jan Hendrik Bruinier
language : en
Publisher: Springer
Release Date : 2018-02-22
L Functions And Automorphic Forms written by Jan Hendrik Bruinier and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-22 with Mathematics categories.
This book presents a collection of carefully refereed research articles and lecture notes stemming from the Conference "Automorphic Forms and L-Functions", held at the University of Heidelberg in 2016. The theory of automorphic forms and their associated L-functions is one of the central research areas in modern number theory, linking number theory, arithmetic geometry, representation theory, and complex analysis in many profound ways. The 19 papers cover a wide range of topics within the scope of the conference, including automorphic L-functions and their special values, p-adic modular forms, Eisenstein series, Borcherds products, automorphic periods, and many more.
Computations With Modular Forms
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Author : Gebhard Böckle
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-23
Computations With Modular Forms written by Gebhard Böckle and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-23 with Mathematics categories.
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.
Cohomology Of Arithmetic Groups And Automorphic Forms
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Author : Jean-Pierre Labesse
language : en
Publisher:
Release Date : 2014-09-01
Cohomology Of Arithmetic Groups And Automorphic Forms written by Jean-Pierre Labesse and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Algebra And Number Theory
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Author : Rajat Tandon
language : en
Publisher: Springer
Release Date : 2005-05-01
Algebra And Number Theory written by Rajat Tandon and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-01 with Mathematics categories.
Contributed articles presented at the Conference.
Automorphic Forms And L Functions I
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Author : David Ginzburg
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Automorphic Forms And L Functions I written by David Ginzburg and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.
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.
Automorphic Cohomology Motivic Cohomology And The Adjoint L Function
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Author : Kartik A. Prasanna
language : en
Publisher:
Release Date : 2021
Automorphic Cohomology Motivic Cohomology And The Adjoint L Function written by Kartik A. Prasanna and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Homology theory categories.
"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." --
