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Record Nr. |
UNINA9910350247403321 |
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Titolo |
Representations of Reductive p-adic Groups : International Conference, IISER, Pune, India, 2017 / / edited by Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone |
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Pubbl/distr/stampa |
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Singapore : , : Springer Singapore : , : Imprint : Birkhäuser, , 2019 |
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ISBN |
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Edizione |
[1st ed. 2019.] |
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Descrizione fisica |
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1 online resource (XIII, 289 p. 4 illus., 3 illus. in color.) |
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Collana |
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Progress in Mathematics, , 0743-1643 ; ; 328 |
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Disciplina |
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Soggetti |
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Topological groups |
Lie groups |
Group theory |
Harmonic analysis |
Topological Groups, Lie Groups |
Group Theory and Generalizations |
Abstract Harmonic Analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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. . |
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Sommario/riassunto |
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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 |
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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. |
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