Local Langlands and Springer correspondences -- Arithmetic of cuspidal representations -- Root data with group actions -- The character of a simple supercuspidal representation of SL(2,F) -- Classification of strongly positive representations of even general unitary groups -- On the unicity of types for toral supercuspidal representations -- Local gamma factors, converse theorems and related problems -- On completions of Hecke algebras -- On relatively tempered representations for p-adic symmetric spaces.
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SUMMARY OR ABSTRACT
Text of Note
"This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell-Kutzko's construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike"--Publisher's description.
ACQUISITION INFORMATION NOTE
Source for Acquisition/Subscription Address
Springer Nature
Stock Number
com.springer.onix.9789811366284
OTHER EDITION IN ANOTHER MEDIUM
Title
Representations of reductive p-adic groups.
International Standard Book Number
9789811366277
TOPICAL NAME USED AS SUBJECT
p-adic groups, Congresses.
p-adic groups.
DEWEY DECIMAL CLASSIFICATION
Number
512
.
7/4
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA174
.
2
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Aubert, Anne-Marie
Mishra, Manish
Roche, Alan
Spallone, Steven
CORPORATE BODY NAME - PRIMARY RESPONSIBILITY
Representations of Reductive p-adic Groups (Conference)(2017 :, Pune, India)
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
Indian Institute of Science Education and Research (Pune, India),issuing body.