Automorphic Forms Beyond $mathrm {GL}_2$

Automorphic Forms Beyond $mathrm {GL}_2$
Author :
Publisher : American Mathematical Society
Total Pages : 199
Release :
ISBN-10 : 9781470474928
ISBN-13 : 1470474921
Rating : 4/5 (921 Downloads)

Book Synopsis Automorphic Forms Beyond $mathrm {GL}_2$ by : Ellen Elizabeth Eischen

Download or read book Automorphic Forms Beyond $mathrm {GL}_2$ written by Ellen Elizabeth Eischen and published by American Mathematical Society. This book was released on 2024-03-26 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representation theory and arithmetic geometry, and other fields in a profound way. There are nevertheless very few expository accounts beyond the GL(2) case. This book features expository accounts of several topics on automorphic forms on higher rank groups, including rationality questions on unitary group, theta lifts and their applications to Arthur's conjectures, quaternionic modular forms, and automorphic forms over functions fields and their applications to inverse Galois problems. It is based on the lecture notes prepared for the twenty-fifth Arizona Winter School on “Automorphic Forms beyond GL(2)”, held March 5–9, 2022, at the University of Arizona in Tucson. The speakers were Ellen Eischen, Wee Teck Gan, Aaron Pollack, and Zhiwei Yun. The exposition of the book is in a style accessible to students entering the field. Advanced graduate students as well as researchers will find this a valuable introduction to various important and very active research areas.


Automorphic Forms Beyond $mathrm {GL}_2$ Related Books

Automorphic Forms Beyond $mathrm {GL}_2$
Language: en
Pages: 199
Authors: Ellen Elizabeth Eischen
Categories: Mathematics
Type: BOOK - Published: 2024-03-26 - Publisher: American Mathematical Society

GET EBOOK

The Langlands program has been a very active and central field in mathematics ever since its conception over 50 years ago. It connects number theory, representa
Open Problems and Surveys of Contemporary Mathematics
Language: en
Pages: 477
Authors: Lizhen Ji
Categories: Geometry, Differential
Type: BOOK - Published: 2013 - Publisher:

GET EBOOK

Kvant Selecta: Algebra and Analysis, I
Language: en
Pages: 172
Authors: Serge Tabachnikov
Categories: Mathematics
Type: BOOK - Published: 1999-08-03 - Publisher: American Mathematical Soc.

GET EBOOK

This volume contains translated articles originally published from 1970 to 1990 in the Russian journal "Kvant." The influence of this magazine on mathematics an
Lie Algebras, Part 2
Language: en
Pages: 565
Authors: E.A. de Kerf
Categories: Science
Type: BOOK - Published: 1997-10-30 - Publisher: Elsevier

GET EBOOK

This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematica
Lie Groups
Language: en
Pages: 532
Authors: Daniel Bump
Categories: Mathematics
Type: BOOK - Published: 2013-10-01 - Publisher: Springer Science & Business Media

GET EBOOK

This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which