Automorphic Forms, Representation Theory and Arithmetic
Author : G. Harder
Publisher :
Page : 368 pages
File Size : 36,9 MB
Release : 2014-09-01
Category :
ISBN : 9783662007358
Author : G. Harder
Publisher :
Page : 368 pages
File Size : 36,9 MB
Release : 2014-09-01
Category :
ISBN : 9783662007358
Author : D. Bump
Publisher : Springer
Page : 196 pages
File Size : 39,70 MB
Release : 2006-12-08
Category : Mathematics
ISBN : 3540390553
Author : S. Gelbart
Publisher : Springer
Page : 358 pages
File Size : 33,98 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 3662007347
International Colloquium an Automorphic Forms, Representation Theory and Arithmetic. Published for the Tata Institute of Fundamental Research, Bombay
Author : Anton Deitmar
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 17,40 MB
Release : 2012-08-29
Category : Mathematics
ISBN : 144714435X
Automorphic forms are an important complex analytic tool in number theory and modern arithmetic geometry. They played for example a vital role in Andrew Wiles's proof of Fermat's Last Theorem. This text provides a concise introduction to the world of automorphic forms using two approaches: the classic elementary theory and the modern point of view of adeles and representation theory. The reader will learn the important aims and results of the theory by focussing on its essential aspects and restricting it to the 'base field' of rational numbers. Students interested for example in arithmetic geometry or number theory will find that this book provides an optimal and easily accessible introduction into this topic.
Author : James W. Cogdell
Publisher : International Pressof Boston Incorporated
Page : 557 pages
File Size : 29,68 MB
Release : 2011
Category : Mathematics
ISBN : 9781571462299
Author : Toshiyuki Kobayashi
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 29,28 MB
Release : 2007-10-10
Category : Mathematics
ISBN : 0817646469
This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.
Author : Toshiyuki Kobayashi
Publisher : Birkhäuser
Page : 214 pages
File Size : 36,6 MB
Release : 2008-11-01
Category : Mathematics
ISBN : 9780817671297
This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number theory and differential geometry. Topics include: Automorphic forms and distributions, modular forms, visible-actions, Dirac cohomology, holomorphic forms, harmonic analysis, self-dual representations, and Langlands Functoriality Conjecture, Both graduate students and researchers will find inspiration in this volume.
Author : Paul Sally
Publisher : American Mathematical Soc.
Page : 452 pages
File Size : 46,57 MB
Release :
Category : Mathematics
ISBN : 9780821869314
The eleven papers collected in this volume appeared in the Bulletin of the AMS during the years 1955 to 1984 and share the theme of the representation theory of locally compact groups and its numerous applications. The papers provide a glimpse at the historical development of a subject which has expanded into many areas of mathematics during the past forty years. In addition, this volume provides easy access to a useful set of references. Chronicling some of the most important developments in papers by some of the field's major figures, this book will appeal to specialists in representation theory as well as to researchers in those areas of mathematics in which representation theory plays an important role.
Author : Philipp Fleig
Publisher : Cambridge Studies in Advanced
Page : 587 pages
File Size : 14,87 MB
Release : 2018-07-05
Category : Mathematics
ISBN : 1107189926
Detailed exposition of automorphic representations and their relation to string theory, for mathematicians and theoretical physicists.
Author : Peter Sarnak
Publisher : American Mathematical Soc.
Page : 443 pages
File Size : 26,52 MB
Release : 2007
Category : Mathematics
ISBN : 0821828738
The theory of automorphic forms has seen dramatic developments in recent years. In particular, important instances of Langlands functoriality have been established. This volume presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. It addresses some of the general aspects of automorphic forms, as well as certain recent advances in the field. The book starts with the lectures of Borel on the basic theory of automorphic forms, which lay the foundation for the lectures by Cogdell and Shahidi on converse theorems and the Langlands-Shahidi method, as well as those by Clozel and Li on the Ramanujan conjectures and graphs. The analytic theory of GL(2)-forms and $L$-functions are the subject of Michel's lectures, while Terras covers arithmetic quantum chaos. The volume also includes a chapter by Vogan on isolated unitary representations, which is related to the lectures by Clozel. This volume is recommended for independent study or an advanced topics course. It is suitable for graduate students and researchers interested in automorphic forms and number theory. the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.