Author : Lizhen Ji
Publisher : International Press of Boston
Page : 0 pages
File Size : 28,16 MB
Release : 2010
Category : Algebraic number theory
ISBN : 9781571461414
Consists of expanded lecture notes from a 2007 international conference in Guangzhou, China, at which several leading experts in number theory presented introductions to, and surveys of, many aspects of automorphic forms and the Langlands program.
Author : Joseph Bernstein
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 40,86 MB
Release : 2013-12-11
Category : Mathematics
ISBN : 0817682260
This book presents a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Each of the twelve chapters focuses on a particular topic devoted to special cases of the program. The book is suitable for graduate students and researchers.
Author : Volker Heiermann
Publisher : Springer
Page : 367 pages
File Size : 14,86 MB
Release : 2018-10-01
Category : Mathematics
ISBN : 3319952315
This volume presents a panorama of the diverse activities organized by V. Heiermann and D. Prasad in Marseille at the CIRM for the Chaire Morlet event during the first semester of 2016. It assembles together expository articles on topics which previously could only be found in research papers. Starting with a very detailed article by P. Baumann and S. Riche on the geometric Satake correspondence, the book continues with three introductory articles on distinguished representations due to P. Broussous, F. Murnaghan, and O. Offen; an expository article of I. Badulescu on the Jacquet–Langlands correspondence; a paper of J. Arthur on functoriality and the trace formula in the context of "Beyond Endoscopy", taken from the Simons Proceedings; an article of W-W. Li attempting to generalize Godement–Jacquet theory; and a research paper of C. Moeglin and D. Renard, applying the trace formula to the local Langlands classification for classical groups. The book should be of interest to students as well as professional researchers working in the broad area of number theory and representation theory.
Author : Toshiyuki Kobayashi
Publisher : Springer Science & Business Media
Page : 220 pages
File Size : 14,86 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 : Edward Frenkel
Publisher : Cambridge University Press
Page : 5 pages
File Size : 50,86 MB
Release : 2007-06-28
Category : Mathematics
ISBN : 0521854431
The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Author : D. Bump
Publisher : Springer
Page : 196 pages
File Size : 27,83 MB
Release : 2006-12-08
Category : Mathematics
ISBN : 3540390553
Author : Julia Mueller
Publisher : Cambridge University Press
Page : 451 pages
File Size : 11,93 MB
Release : 2021-08-05
Category : Mathematics
ISBN : 1108710948
A step-by-step guide to Langlands' early work leading up the Langlands Program for mathematicians and advanced students.
Author : Philipp Fleig
Publisher : Cambridge Studies in Advanced
Page : 587 pages
File Size : 32,1 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 : H. Jacquet
Publisher : Springer
Page : 156 pages
File Size : 31,39 MB
Release : 2006-11-15
Category : Mathematics
ISBN : 3540376127
Author : Fred Diamond
Publisher : Cambridge University Press
Page : 385 pages
File Size : 40,49 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.
