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.
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.
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.
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
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.
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.
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.
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.
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:
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:
Download or read book Geometric Methods in the Algebraic Theory of Quadratic Forms written by and published by Springer Science & Business Media. This book was released on 2004 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Similarity Problems and Completely Bounded Maps written by Gilles Pisier and published by Springer. This book was released on 2004-10-14 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities.
Download or read book Quantization and Non holomorphic Modular Forms written by André Unterberger and published by Springer Science & Business Media. This book was released on 2000-08-28 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis. Extending the Rankin-Selberg method so as to apply it to the calculation of the Roelcke-Selberg decomposition of the product of two Eisenstein series, one lets Maass cusp-forms appear as residues of simple, Eisenstein-like, series. Other results, based on quantization theory, include a reinterpretation of the Lax-Phillips scattering theory for the automorphic wave equation, in terms of distributions on R2 automorphic with respect to the linear action of SL(2,Z).
Download or read book Elliptic Genera and Vertex Operator Super Algebras written by Hirotaka Tamanoi and published by Springer Science & Business Media. This book was released on 1999-06-21 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras.
Download or read book Real Enriques Surfaces written by Alexander Degtyarev and published by Springer Science & Business Media. This book was released on 2000-10-26 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deformation classes. p. 89.
Download or read book Loeb Measures in Practice Recent Advances written by Nigel J. Cutland and published by Springer. This book was released on 2004-10-11 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: This expanded version of the 1997 European Mathematical Society Lectures given by the author in Helsinki, begins with a self-contained introduction to nonstandard analysis (NSA) and the construction of Loeb Measures, which are rich measures discovered in 1975 by Peter Loeb, using techniques from NSA. Subsequent chapters sketch a range of recent applications of Loeb measures due to the author and his collaborators, in such diverse fields as (stochastic) fluid mechanics, stochastic calculus of variations ("Malliavin" calculus) and the mathematical finance theory. The exposition is designed for a general audience, and no previous knowledge of either NSA or the various fields of applications is assumed.
Download or read book Noncommutative Geometry written by Alain Connes and published by Springer. This book was released on 2003-12-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
