Author: Masao Oi
Publisher: American Mathematical Society
ISBN: 1470469561
Category : Mathematics
Languages : en
Pages : 174
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Author: Dongxiao Yu
Publisher: American Mathematical Society
ISBN: 1470470489
Category : Mathematics
Languages : en
Pages : 140
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Author: John Bergdall
Publisher: American Mathematical Society
ISBN: 1470470314
Category : Mathematics
Languages : en
Pages : 138
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Author: Javier Fernández de Bobadilla
Publisher: American Mathematical Society
ISBN: 1470470535
Category : Mathematics
Languages : en
Pages : 110
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Author: Jack Kelly
Publisher: American Mathematical Society
ISBN: 1470470411
Category : Mathematics
Languages : en
Pages : 172
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Author: Paul Apisa
Publisher: American Mathematical Society
ISBN: 1470469111
Category : Mathematics
Languages : en
Pages : 154
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Author: Anne-Marie Aubert
Publisher: Springer
ISBN: 9811366284
Category : Mathematics
Languages : en
Pages : 289
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 868
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Author: Laurent Clozel
Publisher: International Pressof Boston Incorporated
ISBN: 9781571462275
Category : Mathematics
Languages : en
Pages : 527
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Author: Stefan Patrikis
Publisher: American Mathematical Soc.
ISBN: 1470435403
Category : Algebraic number theory
Languages : en
Pages : 156
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Book Description
Let F be a number field. These notes explore Galois-theoretic, automorphic, and motivic analogues and refinements of Tate's basic result that continuous projective representations Gal(F¯¯¯¯/F)→PGLn(C) lift to GLn(C). The author takes special interest in the interaction of this result with algebraicity (for automorphic representations) and geometricity (in the sense of Fontaine-Mazur). On the motivic side, the author studies refinements and generalizations of the classical Kuga-Satake construction. Some auxiliary results touch on: possible infinity-types of algebraic automorphic representations; comparison of the automorphic and Galois “Tannakian formalisms” monodromy (independence-of-ℓ) questions for abstract Galois representations.