Representation Theory and Number Theory in Connection with the Local Langlands Conjecture
Author: Jürgen Ritter
Publisher: American Mathematical Soc.
Published: 1989
Total Pages: 266
ISBN-13: 0821850938
DOWNLOAD EBOOK →Author: Jürgen Ritter
Publisher: American Mathematical Soc.
Published: 1989
Total Pages: 266
ISBN-13: 0821850938
DOWNLOAD EBOOK →Author: Colin J. Bushnell
Publisher: Springer Science & Business Media
Published: 2006-08-29
Total Pages: 352
ISBN-13: 354031511X
DOWNLOAD EBOOK →The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40 years and gives a complete and self-contained proof of the Langlands conjecture in the case n=2. It is aimed at graduate students and at researchers in related fields. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields.
Author: Edward Frenkel
Publisher: Cambridge University Press
Published: 2007-06-28
Total Pages: 5
ISBN-13: 0521854431
DOWNLOAD EBOOK →The first account of local geometric Langlands Correspondence, a new area of mathematical physics developed by the author.
Author: Simon Gindikin
Publisher: American Mathematical Soc.
Published: 1994
Total Pages: 256
ISBN-13: 082180300X
DOWNLOAD EBOOK →Combining presentation of new results with in-depth surveys of recent work, this book focuses on representation theory and harmonic analysis on real and $p$-adic groups. The papers are based on lectures presented at a conference dedicated to the memory of Larry Corwin and held at Rutgers University in February 1993. The book presents a survey of harmonic analysis on nilpotent homogeneous spaces, results on multiplicity formulas for induced representations, new methods for constructing unitary representations of real reductive groups, and a unified treatment of trace Paley-Wiener theorems for real and $p$-adic reductive groups.In the representation theory of the general linear group over $p$-adic fields, the book provides a description of Corwin's contributions, a survey of the role of Hecke algebras, and a presentation of the theory of simple types. Other types of reductive $p$-adic groups are also discussed. Among the other topics included are the representation theory of discrete rational nilpotent groups, skew-fields associated to quadratic algebras, and finite models for percolation. A timely publication featuring contributions by some of the top researchers in the field, this book offers a perspective not often found in conference proceedings.
Author: M. Isaacs
Publisher: American Mathematical Soc.
Published: 1989
Total Pages: 357
ISBN-13: 0821850989
DOWNLOAD EBOOK →This volume is dedicated to the memory of the Soviet mathematician S. D. Berman (1922-1987). Berman's work - for the most part in representation theory, group rings, and coding theory - is discussed here in a number of review articles. Among the topics covered are Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions. Also discussed are his contributions to the representation theory of groups over fields, his work on integral representations of groups, his accomplishments in infinite abelian group rings, and his fundamental results on units in integral group rings. In addition, there are 22 research articles written by an international group of researchers in areas of Berman's major interest.
Author: Benjamin Fine
Publisher: American Mathematical Soc.
Published: 1990
Total Pages: 191
ISBN-13: 0821851160
DOWNLOAD EBOOK →The AMS Special Session on Combinatorial Group Theory--Infinite Groups, held at the University of Maryland in April 1988, was designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results. The session reflected the vitality and interests in infinite group theory, with eighteen speakers presenting lectures covering a wide range of group-theoretic topics, from purely logical questions to geometric methods. The heightened interest in classical combinatorial group theory was reflected in the sheer volume of work presented during the session. This book consists of eighteen papers presented during the session. Comprising a mix of pure research and exposition, the papers should be sufficiently understandable to the nonspecialist to convey a sense of the direction of this field. However, the volume will be of special interest to researchers in infinite group theory and combinatorial group theory, as well as to those interested in low-dimensional (especially three-manifold) topology.
Author: Alan Adolphson
Publisher: American Mathematical Soc.
Published: 1992
Total Pages: 241
ISBN-13: 0821851454
DOWNLOAD EBOOK →Two meetings of the AMS in the fall of 1989--one at the Stevens Institute of Technology and the other at Ball State University--included Special Sessions on the role of $p$-adic methods in number theory and algebraic geometry. This volume grew out of these Special Sessions. Drawn from a wide area of mathematics, the articles presented here provide an excellent sampling of the broad range of trends and applications in $p$-adic methods.
Author: Emil Grosswald
Publisher: American Mathematical Soc.
Published: 1993
Total Pages: 612
ISBN-13: 0821851551
DOWNLOAD EBOOK →Emil Grosswald was a mathematician of great accomplishment and remarkable breadth of vision. This volume pays tribute to the span of his mathematical interests, which is reflected in the wide range of papers collected here. With contributions by leading contemporary researchers in number theory, modular functions, combinatorics, and related analysis, this book will interest graduate students and specialists in these fields. The high quality of the articles and their close connection to current research trends make this volume a must for any mathematics library.
Author: László Fuchs
Publisher: American Mathematical Soc.
Published: 1989
Total Pages: 289
ISBN-13: 0821850687
DOWNLOAD EBOOK →Author: Jim Cogdell
Publisher: Birkhäuser
Published: 2017-10-19
Total Pages: 626
ISBN-13: 3319597280
DOWNLOAD EBOOK →This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Professor Roger Howe, on the occasion of his 70th birthday, whose work and insights have been deeply influential in the development of these fields. The speakers who contributed to this work include Roger Howe's doctoral students, Roger Howe himself, and other world renowned mathematicians. Topics covered include automorphic forms, invariant theory, representation theory of reductive groups over local fields, and related subjects.