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Cohomology Of Arithmetic Groups L Functions And Automorphic Forms


Cohomology Of Arithmetic Groups L Functions And Automorphic Forms
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Cohomology Of Arithmetic Groups And Automorphic Forms


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.



Cohomology Of Arithmetic Groups L Functions And Automorphic Forms


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.




Proceedings Of The International Conference On Cohomology Of Arithmetic Groups L Functions And Automorphic Forms


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


Cohomology Of Arithmetic Groups
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Author : James W. Cogdell
language : en
Publisher: Springer
Release Date : 2018-08-18

Cohomology Of Arithmetic Groups written by James W. Cogdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-18 with Mathematics categories.


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.



Automorphic Forms And L Functions For The Group Gl N R


Automorphic Forms And L Functions For The Group Gl N R
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Author : Dorian Goldfeld
language : en
Publisher: Cambridge University Press
Release Date : 2006-08-03

Automorphic Forms And L Functions For The Group Gl N R written by Dorian Goldfeld and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-03 with Mathematics categories.


L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.



Automorphic Forms And L Functions I


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.



Arithmetic L Functions And Differential Geometric Methods


Arithmetic L Functions And Differential Geometric Methods
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Author : Pierre Charollois
language : en
Publisher: Springer Nature
Release Date : 2021-05-17

Arithmetic L Functions And Differential Geometric Methods written by Pierre Charollois and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-17 with Mathematics categories.


This book is an outgrowth of the conference “Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods” that was held in Paris in May 2016. Gathering contributions by leading experts in the field ranging from original surveys to pure research articles, this volume provides comprehensive coverage of the front most developments in the field of regulator maps. Key topics covered are: • Additive polylogarithms • Analytic torsions • Chabauty-Kim theory • Local Grothendieck-Riemann-Roch theorems • Periods • Syntomic regulator The book contains contributions by M. Asakura, J. Balakrishnan, A. Besser, A. Best, F. Bianchi, O. Gregory, A. Langer, B. Lawrence, X. Ma, S. Müller, N. Otsubo, J. Raimbault, W. Raskin, D. Rössler, S. Shen, N. Triantafi llou, S. Ünver and J. Vonk.



Automorphic Forms Automorphic Representations And Arithmetic


Automorphic Forms Automorphic Representations And Arithmetic
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Author : Robert S. Doran
language : en
Publisher: American Mathematical Soc.
Release Date : 1999

Automorphic Forms Automorphic Representations And Arithmetic written by Robert S. Doran 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 1999 with categories.




Modular Forms And Galois Cohomology


Modular Forms And Galois Cohomology
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Author : Haruzo Hida
language : en
Publisher: Cambridge University Press
Release Date : 2000-06-29

Modular Forms And Galois Cohomology written by Haruzo Hida and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-06-29 with Mathematics categories.


Comprehensive account of recent developments in arithmetic theory of modular forms, for graduates and researchers.



Harmonic Analysis The Trace Formula And Shimura Varieties


Harmonic Analysis The Trace Formula And Shimura Varieties
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Author : Clay Mathematics Institute. Summer School
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Harmonic Analysis The Trace Formula And Shimura Varieties written by Clay Mathematics Institute. Summer School 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 2005 with Mathematics categories.


Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.