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Descent Construction for GSpin Groups

2016-09-06 Mathematics
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Release : 2016-09-06
Genre : Mathematics
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Book Rating : 670/5 ( reviews)

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Book Synopsis Descent Construction for GSpin Groups by : Joseph Hundley

Download or read book Descent Construction for GSpin Groups written by Joseph Hundley. This book was released on 2016-09-06. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the authors provide an extension of the theory of descent of Ginzburg-Rallis-Soudry to the context of essentially self-dual representations, that is, representations which are isomorphic to the twist of their own contragredient by some Hecke character. The authors' theory supplements the recent work of Asgari-Shahidi on the functorial lift from (split and quasisplit forms of) GSpin2n to GL2n.

The Descent Map from Automorphic Representations of GL(n) to Classical Groups

2011 Mathematics
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Release : 2011
Genre : Mathematics
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Book Rating : 980/5 ( reviews)

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Book Synopsis The Descent Map from Automorphic Representations of GL(n) to Classical Groups by : David Ginzburg

Download or read book The Descent Map from Automorphic Representations of GL(n) to Classical Groups written by David Ginzburg. This book was released on 2011. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of the Gelfand?Graev type, or of the Fourier?Jacobi type to certain residual Eisenstein series. An account of this automorphic descent, with complete, detailed proofs, leads to a thorough understanding of important ideas and techniques. The book will be of interest to graduate students and mathematicians, who specialize in automorphic forms and in representation theory of reductive groups over local fields. Relatively self-contained, the content of some of the chapters can serve as topics for graduate students seminars.

Advances in the Theory of Automorphic Forms and Their $L$-functions

2016-04-29 Mathematics
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Release : 2016-04-29
Genre : Mathematics
Kind : eBook
Book Rating : 09X/5 ( reviews)

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Book Synopsis Advances in the Theory of Automorphic Forms and Their $L$-functions by : Dihua Jiang

Download or read book Advances in the Theory of Automorphic Forms and Their $L$-functions written by Dihua Jiang. This book was released on 2016-04-29. 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.

Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces

2017-01-18 Mathematics
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Release : 2017-01-18
Genre : Mathematics
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Book Rating : 941/5 ( reviews)

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Book Synopsis Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces by : F. Dahmani

Download or read book Hyperbolically Embedded Subgroups and Rotating Families in Groups Acting on Hyperbolic Spaces written by F. Dahmani. This book was released on 2017-01-18. Available in PDF, EPUB and Kindle. Book excerpt: he authors introduce and study the notions of hyperbolically embedded and very rotating families of subgroups. The former notion can be thought of as a generalization of the peripheral structure of a relatively hyperbolic group, while the latter one provides a natural framework for developing a geometric version of small cancellation theory. Examples of such families naturally occur in groups acting on hyperbolic spaces including hyperbolic and relatively hyperbolic groups, mapping class groups, , and the Cremona group. Other examples can be found among groups acting geometrically on spaces, fundamental groups of graphs of groups, etc. The authors obtain a number of general results about rotating families and hyperbolically embedded subgroups; although their technique applies to a wide class of groups, it is capable of producing new results even for well-studied particular classes. For instance, the authors solve two open problems about mapping class groups, and obtain some results which are new even for relatively hyperbolic groups.

Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups

2017-07-13 Mathematics
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Release : 2017-07-13
Genre : Mathematics
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Book Rating : 620/5 ( reviews)

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Book Synopsis Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups by : Matthew J. Emerton

Download or read book Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups written by Matthew J. Emerton. This book was released on 2017-07-13. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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