Locally Analytic Vectors In Representations Of Locally P Adic Analytic Groups

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Locally Analytic Vectors In Representations Of Locally P Adic Analytic Groups

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Author : Matthew J. Emerton
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-07-13

Locally Analytic Vectors In Representations Of Locally P Adic Analytic Groups written by Matthew J. Emerton and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-13 with Mathematics categories.

The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various “radii of analyticity”). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader.

Locally Analytic Vectors In Representations Of Locally P Adic Analytic Groups

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Author : Matthew Emerton
language : en
Publisher:
Release Date : 2017

Locally Analytic Vectors In Representations Of Locally P Adic Analytic Groups written by Matthew Emerton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Geometry, Analytic categories.

The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various "radii of analyticity"). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader

P Adic Banach Space Representations

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Author : Dubravka Ban
language : en
Publisher: Springer Nature
Release Date : 2023-02-11

P Adic Banach Space Representations written by Dubravka Ban and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-11 with Mathematics categories.

This book systematically develops the theory of continuous representations on p-adic Banach spaces. Its purpose is to lay the foundations of the representation theory of reductive p-adic groups on p-adic Banach spaces, explain the duality theory of Schneider and Teitelbaum, and demonstrate its applications to continuous principal series. Written to be accessible to graduate students, the book gives a comprehensive introduction to the necessary tools, including Iwasawa algebras, p-adic measures and distributions, p-adic functional analysis, reductive groups, and smooth and algebraic representations. Part 1 culminates with the duality between Banach space representations and Iwasawa modules. This duality is applied in Part 2 for studying the intertwining operators and reducibility of the continuous principal series on p-adic Banach spaces. This monograph is intended to serve both as a reference book and as an introductory text for graduate students and researchers entering the area.

Automorphic Forms And Galois Representations

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Author : Fred Diamond
language : en
Publisher: Cambridge University Press
Release Date : 2014-10-16

Automorphic Forms And Galois Representations written by Fred Diamond and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-16 with Mathematics categories.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

Sur Un Probl Me De Compatibilit Local Global Localement Analytique

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Author : Christophe Breuil
language : en
Publisher: American Mathematical Society
Release Date : 2023-11-27

Sur Un Probl Me De Compatibilit Local Global Localement Analytique written by Christophe Breuil and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-27 with Mathematics categories.

View the abstract.

Cohomology Of Arithmetic Groups

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Author : James W. Cogdell
language : en
Publisher: Springer
Release Date : 2018-08-18

Cohomology Of Arithmetic Groups written by James W. Cogdell and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-18 with Mathematics categories.

This book discusses the mathematical interests of Joachim Schwermer, who throughout his career has focused on the cohomology of arithmetic groups, automorphic forms and the geometry of arithmetic manifolds. To mark his 66th birthday, the editors brought together mathematical experts to offer an overview of the current state of research in these and related areas. The result is this book, with contributions ranging from topology to arithmetic. It probes the relation between cohomology of arithmetic groups and automorphic forms and their L-functions, and spans the range from classical Bianchi groups to the theory of Shimura varieties. It is a valuable reference for both experts in the fields and for graduate students and postdocs wanting to discover where the current frontiers lie.

Modern Trends In Algebra And Representation Theory

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Author : David Jordan
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-17

Modern Trends In Algebra And Representation Theory written by David Jordan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-17 with Mathematics categories.

Aimed at graduate students and non-experts, this text gives a guided tour of modern developments in algebra and representation theory.

Geometry And Dynamics Of Groups And Spaces

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Author : Mikhail Kapranov
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-05

Geometry And Dynamics Of Groups And Spaces written by Mikhail Kapranov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-05 with Mathematics categories.

Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it contains an influential, so far unpublished manuscript by Reznikov of book length. The book further provides an extensive survey on Kleinian groups in higher dimensions and some articles centering on Reznikov as a person.

Rigid Character Groups Lubin Tate Theory And Modules

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Author : Laurent Berger
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-04-03

Rigid Character Groups Lubin Tate Theory And Modules written by Laurent Berger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-04-03 with Education categories.

The construction of the p-adic local Langlands correspondence for GL2(Qp) uses in an essential way Fontaine's theory of cyclotomic (φ,Γ)-modules. Here cyclotomic means that Γ=Gal(Qp(μp∞)/Qp) is the Galois group of the cyclotomic extension of Qp. In order to generalize the p-adic local Langlands correspondence to GL2(L), where L is a finite extension of Qp, it seems necessary to have at our disposal a theory of Lubin-Tate (φ,Γ)-modules. Such a generalization has been carried out, to some extent, by working over the p-adic open unit disk, endowed with the action of the endomorphisms of a Lubin-Tate group. The main idea of this article is to carry out a Lubin-Tate generalization of the theory of cyclotomic (φ,Γ)-modules in a different fashion. Instead of the p-adic open unit disk, the authors work over a character variety that parameterizes the locally L-analytic characters on oL. They study (φ,Γ)-modules in this setting and relate some of them to what was known previously.

On Operads Bimodules And Analytic Functors

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Author : Nicola Gambino
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-09-25

On Operads Bimodules And Analytic Functors written by Nicola Gambino and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-25 with Mathematics categories.

The authors develop further the theory of operads and analytic functors. In particular, they introduce the bicategory of operad bimodules, that has operads as -cells, operad bimodules as -cells and operad bimodule maps as 2-cells, and prove that it is cartesian closed. In order to obtain this result, the authors extend the theory of distributors and the formal theory of monads.