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Representations of Reductive p-adic Groups

International Conference, IISER, Pune, India, 2017

  • Anne-Marie Aubert
  • Manish Mishra
  • Alan Roche
  • Steven Spallone
Book

Part of the Progress in Mathematics book series (PM, volume 328)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Anne-Marie Aubert
    Pages 1-37
  3. Colin J. Bushnell
    Pages 39-126
  4. Jeffrey D. Adler, Joshua M. Lansky
    Pages 127-143
  5. Peter Latham, Monica Nevins
    Pages 175-190
  6. Maarten Solleveld
    Pages 207-262

About this book

Introduction

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.

Keywords

Local Langlands Correspondence Cuspidal Representations Types and Hecke Algebras Harmonic Analysis Kottwitz Homomorphism

Editors and affiliations

  • Anne-Marie Aubert
    • 1
  • Manish Mishra
    • 2
  • Alan Roche
    • 3
  • Steven Spallone
    • 4
  1. 1.Institut de Mathématiques de JussieuParisFrance
  2. 2.Department of MathematicsIndian Institute of Science Education and Research PunePuneIndia
  3. 3.Department of MathematicsUniversity of OklahomaNormanUSA
  4. 4.Department of MathematicsIndian Institute of Science Education and Research PunePuneIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-13-6628-4
  • Copyright Information Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Birkhäuser, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-13-6627-7
  • Online ISBN 978-981-13-6628-4
  • Series Print ISSN 0743-1643
  • Series Online ISSN 2296-505X
  • Buy this book on publisher's site
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