The Semi Simple Zeta Function Of Quaternionic Shimura Varieties

Author : Harry Reimann
Publisher : Springer
ISBN 13 : 354068414X
Total Pages : 152 pages
Book Rating : 4.45/5 ( download)

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Download or read book The semi-simple zeta function of quaternionic Shimura varieties written by Harry Reimann and published by Springer. This book was released on 2006-11-14 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Dihua Jiang
Publisher : American Mathematical Soc.
ISBN 13 : 147041709X
Total Pages : 376 pages
Book Rating : 4.93/5 ( download)

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Download or read book Advances in the Theory of Automorphic Forms and Their $L$-functions written by Dihua Jiang and published by American Mathematical Soc.. This book was released on 2016-04-29 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Caterina Consani
Publisher : Springer Science & Business Media
ISBN 13 : 3834803529
Total Pages : 374 pages
Book Rating : 4.28/5 ( download)

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Download or read book Noncommutative Geometry and Number Theory written by Caterina Consani and published by Springer Science & Business Media. This book was released on 2007-12-18 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Thomas Haines
Publisher : Cambridge University Press
ISBN 13 : 1108704867
Total Pages : 341 pages
Book Rating : 4.61/5 ( download)

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Download or read book Shimura Varieties written by Thomas Haines and published by Cambridge University Press. This book was released on 2020-02-20 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011

Author : Clay Mathematics Institute. Summer School
Publisher : American Mathematical Soc.
ISBN 13 : 9780821838440
Total Pages : 708 pages
Book Rating : 4.4X/5 ( download)

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Download or read book Harmonic Analysis, the Trace Formula, and Shimura Varieties written by Clay Mathematics Institute. Summer School and published by American Mathematical Soc.. This book was released on 2005 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Angelo Marcello Anile
Publisher : Springer Science & Business Media
ISBN 13 : 9783540408024
Total Pages : 164 pages
Book Rating : 4.29/5 ( download)

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Download or read book Mathematical Problems in Semiconductor Physics written by Angelo Marcello Anile and published by Springer Science & Business Media. This book was released on 2003-09-16 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : V.D. Milman
Publisher : Springer
ISBN 13 : 354045392X
Total Pages : 296 pages
Book Rating : 4.25/5 ( download)

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Download or read book Geometric Aspects of Functional Analysis written by V.D. Milman and published by Springer. This book was released on 2007-05-09 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : R. M. Dudley
Publisher : Springer Science & Business
ISBN 13 : 9783540659754
Total Pages : 300 pages
Book Rating : 4.57/5 ( download)

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Download or read book Differentiability of Six Operators on Nonsmooth Functions and P-Variation written by R. M. Dudley and published by Springer Science & Business. This book was released on 1999-06-21 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Michel Courtieu
Publisher : Springer Science & Business Media
ISBN 13 : 9783540407294
Total Pages : 212 pages
Book Rating : 4.94/5 ( download)

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Download or read book Non-Archimedean L-Functions and Arithmetical Siegel Modular Forms written by Michel Courtieu and published by Springer Science & Business Media. This book was released on with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ayalvadi J. Ganesh
Publisher : Springer Science & Business Media
ISBN 13 : 9783540209126
Total Pages : 276 pages
Book Rating : 4.23/5 ( download)

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Download or read book Big Queues written by Ayalvadi J. Ganesh and published by Springer Science & Business Media. This book was released on 2004 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: