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Author : J. Adams
Publisher : American Mathematical Society
Page : 122 pages
File Size : 16,30 MB
Release : 2024-09-09
Category : Mathematics
ISBN : 1470471051
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Author : Wee Teck Gan
Publisher : World Scientific
Page : 449 pages
File Size : 43,19 MB
Release : 2024-04-15
Category : Mathematics
ISBN : 9811285837
This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.
Author : Masao Oi
Publisher : American Mathematical Society
Page : 174 pages
File Size : 44,84 MB
Release : 2024-06-07
Category : Mathematics
ISBN : 1470469561
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Author : Gaëtan Chenevier
Publisher : American Mathematical Soc.
Page : 134 pages
File Size : 30,16 MB
Release : 2015-08-21
Category : Mathematics
ISBN : 147041094X
The authors determine the number of level 1, polarized, algebraic regular, cuspidal automorphic representations of GLn over Q of any given infinitesimal character, for essentially all n≤8. For this, they compute the dimensions of spaces of level 1 automorphic forms for certain semisimple Z-forms of the compact groups SO7, SO8, SO9 (and G2) and determine Arthur's endoscopic partition of these spaces in all cases. They also give applications to the 121 even lattices of rank 25 and determinant 2 found by Borcherds, to level one self-dual automorphic representations of GLn with trivial infinitesimal character, and to vector valued Siegel modular forms of genus 3. A part of the authors' results are conditional to certain expected results in the theory of twisted endoscopy.
Author : James Arthur
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 24,82 MB
Release : 2008
Category : Mathematics
ISBN : 0821843664
"The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. The papers in this volume were presented at The AMS-IMS-SIAM Joint Summer Research Conference "Representation Theory of Real Reductive Lie Groups" held in Snowbird, Utah in June 2006, with the aim of elucidating the problems that remain, as well as explaining what tools have recently become available to solve them. They represent a significant improvement in the exposition of some of the most important (and often least accessible) aspects of the literature." "This volume will be of interest to graduate students working in the harmonic analysis and representation theory of Lie groups. It will also appeal to experts working in closely related fields."--BOOK JACKET.
Author :
Publisher :
Page : 226 pages
File Size : 17,4 MB
Release : 1995-04
Category :
ISBN :
Author : Wee Teck Gan
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 21,29 MB
Release : 2007-12-22
Category : Mathematics
ISBN : 0817646396
Eisenstein series are an essential ingredient in the spectral theory of automorphic forms and an important tool in the theory of L-functions. They have also been exploited extensively by number theorists for many arithmetic purposes. Bringing together contributions from areas which do not usually interact with each other, this volume introduces diverse users of Eisenstein series to a variety of important applications. With this juxtaposition of perspectives, the reader obtains deeper insights into the arithmetic of Eisenstein series. The central theme of the exposition focuses on the common structural properties of Eisenstein series occurring in many related applications.
Author : Bernhard Krötz
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 39,2 MB
Release : 2011-12-13
Category : Mathematics
ISBN : 081764816X
This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory.
Author : J. Adams
Publisher : Springer Science & Business Media
Page : 331 pages
File Size : 14,24 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 146120383X
This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the Weil-Deligne group. For p-adic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory and geometry on the space of p-adic representation theory and geometry on the space of p-adic Langlands parameters. This book provides and introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation theory and in automorphic forms.
Author : Narciso Garcia
Publisher : Springer Science & Business Media
Page : 563 pages
File Size : 44,9 MB
Release : 2012-12-06
Category : Computers
ISBN : 1461216168
Not only computer scientists, but also electrical engineers, and others interested in electronics are targeted here, and thus the presentation is directed toward understanding how a computer works, while still providing a broad and effective one-year introduction to classical and modern physics. The first half of the book covers many of the topics found in a standard introductory physics course, but with the selection tailored for use in the second half. This second part then covers the fundamentals of quantum mechanics, multi-electron systems, crystal structure, semiconductor devices, and logic circuits. All the mathematical complexities treated are alleviated by intuitive physical arguments, and students are encouraged to use their own programming to solve problems. The only prerequisite is some knowledge of calculus, and the second part can serve by itself as an introduction to the physics of electronics for students who have had a standard two-semester introductory physics course. In this second edition, much of the material on electronic devices has been brought up to date, and there is a new chapter on integrated circuits and heterostructures.