The Semi Simple Zeta Function Of Quaternionic Shimura Varieties

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The Semi Simple Zeta Function Of Quaternionic Shimura Varieties
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Author : Harry Reimann
language : en
Publisher: Springer
Release Date : 2006-11-14
The Semi Simple Zeta Function Of Quaternionic Shimura Varieties written by Harry Reimann and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
This monograph is concerned with the Shimura variety attached to a quaternion algebra over a totally real number field. For any place of good (or moderately bad) reduction, the corresponding (semi-simple) local zeta function is expressed in terms of (semi-simple) local L-functions attached to automorphic representations. In an appendix a conjecture of Langlands and Rapoport on the reduction of a Shimura variety in a very general case is restated in a slightly stronger form. The reader is expected to be familiar with the basic concepts of algebraic geometry, algebraic number theory and the theory of automorphic representation.
Advances In The Theory Of Automorphic Forms And Their L Functions
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Author : Dihua Jiang
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-29
Advances In The Theory Of Automorphic Forms And Their L Functions written by Dihua Jiang 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 2016-04-29 with Mathematics categories.
This volume contains the proceedings of the workshop on “Advances in the Theory of Automorphic Forms and Their L-functions” held in honor of James Cogdell's 60th birthday, held from October 16–25, 2013, at the Erwin Schrödinger Institute (ESI) at the University of Vienna. The workshop and the papers contributed to this volume circle around such topics as the theory of automorphic forms and their L-functions, geometry and number theory, covering some of the recent approaches and advances to these subjects. Specifically, the papers cover aspects of representation theory of p-adic groups, classification of automorphic representations through their Fourier coefficients and their liftings, L-functions for classical groups, special values of L-functions, Howe duality, subconvexity for L-functions, Kloosterman integrals, arithmetic geometry and cohomology of arithmetic groups, and other important problems on L-functions, nodal sets and geometry.
Harmonic Analysis The Trace Formula And Shimura Varieties
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Author : Clay Mathematics Institute. Summer School
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Harmonic Analysis The Trace Formula And Shimura Varieties written by Clay Mathematics Institute. Summer School 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 2005 with Mathematics categories.
Langlands program proposes fundamental relations that tie arithmetic information from number theory and algebraic geometry with analytic information from harmonic analysis and group representations. This title intends to provide an entry point into this exciting and challenging field.
Noncommutative Geometry And Number Theory
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Author : Caterina Consani
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-18
Noncommutative Geometry And Number Theory written by Caterina Consani 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 2007-12-18 with Mathematics categories.
In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.
Shimura Varieties
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Author : Thomas Haines
language : en
Publisher: Cambridge University Press
Release Date : 2020-02-20
Shimura Varieties written by Thomas Haines 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 2020-02-20 with Mathematics categories.
This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011
The Semi Simple Zeta Function Of Shimura Varieties Associated To Quaternion Algebras
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Author : Harry Reimann
language : de
Publisher:
Release Date : 1995
The Semi Simple Zeta Function Of Shimura Varieties Associated To Quaternion Algebras written by Harry Reimann and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with categories.
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes
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Author : Boyan Sirakov
language : en
Publisher: World Scientific
Release Date : 2019-02-27
Proceedings Of The International Congress Of Mathematicians 2018 Icm 2018 In 4 Volumes written by Boyan Sirakov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-27 with Mathematics categories.
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Mathematical Problems In Semiconductor Physics
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Author : Angelo Marcello Anile
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-09-16
Mathematical Problems In Semiconductor Physics written by Angelo Marcello Anile 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 2003-09-16 with Science categories.
On the the mathematical aspects of the theory of carrier transport in semiconductor devices. The subjects covered include hydrodynamical models for semiconductors based on the maximum entropy principle of extended thermodynamics, mathematical theory of drift-diffusion equations with applications, and the methods of asymptotic analysis.
Geometric Aspects Of Functional Analysis
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Author : V.D. Milman
language : en
Publisher: Springer
Release Date : 2007-05-09
Geometric Aspects Of Functional Analysis written by V.D. Milman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-09 with Mathematics categories.
This volume of original research papers from the Israeli GAFA seminar during the years 1996-2000 not only reports on more traditional directions of Geometric Functional Analysis, but also reflects on some of the recent new trends in Banach Space Theory and related topics. These include the tighter connection with convexity and the resulting added emphasis on convex bodies that are not necessarily centrally symmetric, and the treatment of bodies which have only very weak convex-like structure. Another topic represented here is the use of new probabilistic tools; in particular transportation of measure methods and new inequalities emerging from Poincaré-like inequalities.
Differentiability Of Six Operators On Nonsmooth Functions And P Variation
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Author : R. M. Dudley
language : en
Publisher: Springer Science & Business
Release Date : 1999-06-21
Differentiability Of Six Operators On Nonsmooth Functions And P Variation written by R. M. Dudley and has been published by Springer Science & Business this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-21 with Mathematics categories.
The book is about differentiability of six operators on functions or pairs of functions: composition (f of g), integration (of f dg), multiplication and convolution of two functions, both varying, and the product integral and inverse operators for one function. The operators are differentiable with respect to p-variation norms with optimal remainder bounds. Thus the functions as arguments of the operators can be nonsmooth, possibly discontinuous, but four of the six operators turn out to be analytic (holomorphic) for some p-variation norms. The reader will need to know basic real analysis, including Riemann and Lebesgue integration. The book is intended for analysts, statisticians and probabilists. Analysts and statisticians have each studied the differentiability of some of the operators from different viewpoints, and this volume seeks to unify and expand their results.