Cohomology Of Arithmetic Groups

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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.

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.

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.

Arithmetic Groups And Their Generalizations

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Author : Lizhen Ji
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Arithmetic Groups And Their Generalizations written by Lizhen Ji 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 2008 with Mathematics categories.

In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n, \mathbf{Z})$. Yet, many applications of arithmetic groups and many connections to other subjects within mathematics are less well known. Indeed, arithmetic groups admit many natural and important generalizations. The purpose of this expository book is to explain, through some brief and informal comments and extensive references, what arithmetic groups and their generalizations are, why they are important to study, and how they can be understood and applied to many fields, such as analysis, geometry, topology, number theory, representation theory, and algebraic geometry. It is hoped that such an overview will shed a light on the important role played by arithmetic groups in modern mathematics. Titles in this series are co-published with International Press, Cambridge, MA.Table of Contents: Introduction; General comments on references; Examples of basic arithmetic groups; General arithmetic subgroups and locally symmetric spaces; Discrete subgroups of Lie groups and arithmeticity of lattices in Lie groups; Different completions of $\mathbb{Q}$ and $S$-arithmetic groups over number fields; Global fields and $S$-arithmetic groups over function fields; Finiteness properties of arithmetic and $S$-arithmetic groups; Symmetric spaces, Bruhat-Tits buildings and their arithmetic quotients; Compactifications of locally symmetric spaces; Rigidity of locally symmetric spaces; Automorphic forms and automorphic representations for general arithmetic groups; Cohomology of arithmetic groups; $K$-groups of rings of integers and $K$-groups of group rings; Locally homogeneous manifolds and period domains; Non-cofinite discrete groups, geometrically finite groups; Large scale geometry of discrete groups; Tree lattices; Hyperbolic groups; Mapping class groups and outer automorphism groups of free groups; Outer automorphism group of free groups and the outer spaces; References; Index. Review from Mathematical Reviews: ...the author deserves credit for having done the tremendous job of encompassing every aspect of arithmetic groups visible in today's mathematics in a systematic manner; the book should be an important guide for some time to come.(AMSIP/43.

A Toolbox To Compute The Cohomology Of Arithmetic Groups In Case Of The Group Sp 2 Z

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Author :
language : en
Publisher:
Release Date : 2012

A Toolbox To Compute The Cohomology Of Arithmetic Groups In Case Of The Group Sp 2 Z written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Cohomology Of Number Fields

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Author : Jürgen Neukirch
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-26

Cohomology Of Number Fields written by Jürgen Neukirch 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 2013-09-26 with Mathematics categories.

This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician, on cohomological topics in number theory. In all it is a virtually complete treatment of a vast array of central topics in algebraic number theory. New material is introduced here on duality theorems for unramified and tamely ramified extensions as well as a careful analysis of 2-extensions of real number fields.

Weighted Cohomology Of Arithmetic Groups

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Author : Arvind N. Nair
language : en
Publisher:
Release Date : 1996

Weighted Cohomology Of Arithmetic Groups written by Arvind N. Nair and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.

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.

An Application Of The Cohomology Of Arithmetic Groups To The Values Of Automorphic L Functions On Gln

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Author : Joachim Mahnkopf
language : en
Publisher:
Release Date : 2000

An Application Of The Cohomology Of Arithmetic Groups To The Values Of Automorphic L Functions On Gln written by Joachim Mahnkopf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Continuous Cohomology Discrete Subgroups And Representations Of Reductive Groups

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Author : Armand Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-11-21

Continuous Cohomology Discrete Subgroups And Representations Of Reductive Groups written by Armand Borel 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 2013-11-21 with Mathematics categories.

It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.