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Titlebook: Representations of Reductive p-adic Groups; International Confer Anne-Marie Aubert,Manish Mishra,Steven Spallone Book 2019 Springer Nature

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书目名称Representations of Reductive p-adic Groups
副标题International Confer
编辑Anne-Marie Aubert,Manish Mishra,Steven Spallone
视频video
概述Highlights the latest research on representations of p-adic groups.Features survey articles and original research articles by respected experts.Presents a survey by Anne-Marie Aubert on the hugely inf
丛书名称Progress in Mathematics
图书封面Titlebook: Representations of Reductive p-adic Groups; International Confer Anne-Marie Aubert,Manish Mishra,Steven Spallone Book 2019 Springer Nature
描述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..
出版日期Book 2019
关键词Local Langlands Correspondence; Cuspidal Representations; Types and Hecke Algebras; Harmonic Analysis; K
版次1
doihttps://doi.org/10.1007/978-981-13-6628-4
isbn_ebook978-981-13-6628-4Series ISSN 0743-1643 Series E-ISSN 2296-505X
issn_series 0743-1643
copyrightSpringer Nature Singapore Pte Ltd. 2019
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https://doi.org/10.1007/978-981-13-6628-4Local Langlands Correspondence; Cuspidal Representations; Types and Hecke Algebras; Harmonic Analysis; K
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Springer Nature Singapore Pte Ltd. 2019
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,The Character of a Simple Supercuspidal Representation of ,(2, ,),Let . be a non-Archimedean local field of characteristic zero with residual characteristic .. In this paper, we compute the character of a simple supercuspidal representation of .(2, .), when . is arbitrary.
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,Classification of Strongly Positive Representations of Even General Unitary Groups,We explicitly identify the structure of Jacquet modules of parabolically induced representations of even unitary groups and even general unitary groups over a .-adic field . of characteristic different than two. As an application, we obtain a classification of the strongly positive discrete series representations of those groups.
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Local Gamma Factors, Converse Theorems and Related Problems,This paper reviews the development of Local Converse Theorems and related results on distinction for representations of general linear groups over finite and .-adic fields.
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Anne-Marie Aubert,Manish Mishra,Steven SpalloneHighlights the latest research on representations of p-adic groups.Features survey articles and original research articles by respected experts.Presents a survey by Anne-Marie Aubert on the hugely inf
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