Author : Armand Borel
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 28,36 MB
Release : 1979-06-30
Category : Mathematics
ISBN : 0821814370
Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions
Author : D. Bump
Publisher : Springer
Page : 196 pages
File Size : 18,91 MB
Release : 2006-12-08
Category : Mathematics
ISBN : 3540390553
Author : Robert S. Doran
Publisher : American Mathematical Soc.
Page : 293 pages
File Size : 16,28 MB
Release : 1999
Category :
ISBN : 0821810502
Author : Anton Deitmar
Publisher : Springer Science & Business Media
Page : 255 pages
File Size : 30,3 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 : Henryk Iwaniec
Publisher : American Mathematical Soc.
Page : 274 pages
File Size : 33,64 MB
Release : 1997
Category : Mathematics
ISBN : 0821807773
This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Toshiyuki Kobayashi
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 41,56 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 : Peter Sarnak
Publisher : American Mathematical Soc.
Page : 443 pages
File Size : 21,21 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.
Author : Fred Diamond
Publisher : Cambridge University Press
Page : 385 pages
File Size : 34,94 MB
Release : 2014-10-16
Category : Mathematics
ISBN : 1316062333
Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to explore recent developments in this area. The expository articles and research papers across the two volumes reflect recent interest in p-adic methods in number theory and representation theory, as well as recent progress on topics from anabelian geometry to p-adic Hodge theory and the Langlands program. The topics covered in volume one include the Shafarevich Conjecture, effective local Langlands correspondence, p-adic L-functions, the fundamental lemma, and other topics of contemporary interest.
Author : Robert S. Doran
Publisher :
Page : 352 pages
File Size : 28,53 MB
Release : 1999
Category : Automorphic forms
ISBN :
Professor Goro Shimura was principal speaker at the conference on "Euler Products and Eisenstein Series" held at Texas Christian University (See CBMS Regional Conference Series in Mathematics, Volume 93). The present volume contains articles by leading specialists in the field. Some of these articles are based on talks given at the conference, whereas others were written purposely for this volume. The variety of the work presented reflects the current active state of the topic.
Author :
Publisher :
Page : 0 pages
File Size : 42,83 MB
Release : 1999
Category :
ISBN : 9780821806593
