Representations of Reductive p-adic Groups : International Conference, IISER, Pune, India, 2017. 1st ed. 2019

種類:

電子ブック

責任表示:

edited by Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone

出版情報:

Singapore : Springer Nature Singapore : Imprint: Birkhäuser, 2019

著者名:

• Aubert, Anne-Marie.
• Mishra, Manish.
• Roche, Alan.
• Spallone, Steven.
• SpringerLink (Online service)

シリーズ名:

Progress in Mathematics ; 328

ISBN:

9789811366284 [9811366284]    

注記:

Chapter 1: Introduction to the local Langlands correspondence -- Chapter 2. Arithmetic of cuspidal representations -- Chapter 3. Harmonic analysis and affine Hecke algebras -- Chapter 4. Types and Hecke algebras. .
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 e

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