Download or read book Simple Supercuspidal L Packets of Quasi Split Classical Groups written by Masao Oi and published by American Mathematical Society. This book was released on 2024-06-07 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Asymptotic Completeness for a Scalar Quasilinear Wave Equation Satisfying the Weak Null Condition written by Dongxiao Yu and published by American Mathematical Society. This book was released on 2024-07-25 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book On p Adic L Functions for Hilbert Modular Forms written by John Bergdall and published by American Mathematical Society. This book was released on 2024-07-25 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Reflexive Modules on Normal Gorenstein Stein Surfaces Their Deformations and Moduli written by Javier Fernández de Bobadilla and published by American Mathematical Society. This book was released on 2024-07-25 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Homotopy in Exact Categories written by Jack Kelly and published by American Mathematical Society. This book was released on 2024-07-25 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Reconstructing Orbit Closures from their Boundaries written by Paul Apisa and published by American Mathematical Society. This book was released on 2024-07-25 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Download or read book Representations of Reductive p adic Groups written by Anne-Marie Aubert and published by Springer. This book was released on 2019-04-16 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book On the Stabilization of the Trace Formula written by Laurent Clozel and published by International Pressof Boston Incorporated. This book was released on 2011 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Variations on a Theorem of Tate written by Stefan Patrikis and published by American Mathematical Soc.. This book was released on 2019-04-10 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Endoscopic Classification of Representations of Quasi Split Unitary Groups written by Chung Pang Mok and published by American Mathematical Soc.. This book was released on 2015-04-09 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the author establishes the endoscopic classification of tempered representations of quasi-split unitary groups over local fields, and the endoscopic classification of the discrete automorphic spectrum of quasi-split unitary groups over global number fields. The method is analogous to the work of Arthur on orthogonal and symplectic groups, based on the theory of endoscopy and the comparison of trace formulas on unitary groups and general linear groups.
Download or read book The Local Langlands Conjecture for GL 2 written by Colin J. Bushnell and published by Springer Science & Business Media. This book was released on 2006-08-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40 years and gives a complete and self-contained proof of the Langlands conjecture in the case n=2. It is aimed at graduate students and at researchers in related fields. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields.
Download or read book Regulators in Analysis Geometry and Number Theory written by Alexander Reznikov and published by Springer Science & Business Media. This book was released on 2000 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This work is an outgrowth of a conference held at the Hebrew University in Jerusalem on Regulators in Analysis, Geometry and Number Theory, and should appeal to a broad audience of graduate students and research mathematicians."--BOOK JACKET.
Download or read book A Local Relative Trace Formula for the Ginzburg Rallis Model The Geometric Side written by Chen Wan and published by American Mathematical Soc.. This book was released on 2019-12-02 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: Following the method developed by Waldspurger and Beuzart-Plessis in their proofs of the local Gan-Gross-Prasad conjecture, the author is able to prove the geometric side of a local relative trace formula for the Ginzburg-Rallis model. Then by applying such formula, the author proves a multiplicity formula of the Ginzburg-Rallis model for the supercuspidal representations. Using that multiplicity formula, the author proves the multiplicity one theorem for the Ginzburg-Rallis model over Vogan packets in the supercuspidal case.
Download or read book Eisenstein Series and Automorphic L Functions written by Freydoon Shahidi and published by American Mathematical Soc.. This book was released on 2010 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a treatment of the theory of $L$-functions developed by means of the theory of Eisenstein series and their Fourier coefficients, a theory which is usually referred to as the Langlands-Shahidi method. The information gathered from this method, when combined with the converse theorems of Cogdell and Piatetski-Shapiro, has been quite sufficient in establishing a number of new cases of Langlands functoriality conjecture; at present, some of these cases cannot be obtained by any other method. These results have led to far-reaching new estimates for Hecke eigenvalues of Maass forms, as well as definitive solutions to certain problems in analytic and algebraic number theory. This book gives a detailed treatment of important parts of this theory, including a rather complete proof of Casselman-Shalika's formula for unramified Whittaker functions as well as a general treatment of the theory of intertwining operators. It also covers in some detail the global aspects of the method as well as some of its applications to group representations and harmonic analysis. This book is addressed to graduate students and researchers who are interested in the Langlands program in automorphic forms and its connections with number theory.
Download or read book The Endoscopic Classification of Representations Orthogonal and Symplectic Groups written by James Arthur and published by American Mathematical Soc.. This book was released on 2013-10-31 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the Langlands program, endoscopy is a fundamental process for relating automorphic representations of one group with those of another. In this book, Arthur establishes an endoscopic classification of automorphic representations of orthogonal and symplectic groups . The representations are shown to occur in families (known as global -packets and -packets), which are parametrized by certain self-dual automorphic representations of an associated general linear group . The central result is a simple and explicit formula for the multiplicity in the automorphic discrete spectrum of for any representation in a family. The results of the volume have already had significant applications: to the local Langlands correspondence, the construction of unitary representations, the existence of Whittaker models, the analytic behaviour of Langlands -functions, the spectral theory of certain locally symmetric spaces, and to new phenomena for symplectic epsilon-factors. One can expect many more. In fact, it is likely that both the results and the techniques of the volume will have applications to almost all sides of the Langlands program. The methods are by comparison of the trace formula of with its stabilization (and a comparison of the twisted trace formula of with its stabilization, which is part of work in progress by Moeglin and Waldspurger). This approach is quite different from methods that are based on -functions, converse theorems, or the theta correspondence. The comparison of trace formulas in the volume ought to be applicable to a much larger class of groups. Any extension at all will have further important implications for the Langlands program.
Download or read book Character Identities in the Twisted Endoscopy of Real Reductive Groups written by Paul Mezo and published by American Mathematical Soc.. This book was released on 2013-02-26 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suppose $G$ is a real reductive algebraic group, $\theta$ is an automorphism of $G$, and $\omega$ is a quasicharacter of the group of real points $G(\mathbf{R})$. Under some additional assumptions, the theory of twisted endoscopy associates to this triple real reductive groups $H$. The Local Langlands Correspondence partitions the admissible representations of $H(\mathbf{R})$ and $G(\mathbf{R})$ into $L$-packets. The author proves twisted character identities between $L$-packets of $H(\mathbf{R})$ and $G(\mathbf{R})$ comprised of essential discrete series or limits of discrete series.
