La Formule Des Traces Locale Tordue

Author : Colette Moeglin,Jean-Loup Waldspurger
Publisher : American Mathematical Soc.
Page : 180 pages
File Size : 43,5 Mb
Release : 2018-02-23
Category : Algebraic number theory
ISBN : 9781470427719

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La Formule des Traces Locale Tordue by Colette Moeglin,Jean-Loup Waldspurger Pdf

A note to readers: This book is in French. The text has two chapters. The first one, written by Waldspurger, proves a twisted version of the local trace formula of Arthur over a local field. This formula is an equality between two expressions, one involving weighted orbital integrals, the other one involving weighted characters. The authors follow Arthur's proof, but the treatement of the spectral side is more complicated in the twisted situation. They need to use the combinatorics of the “Morning Seminar”. The authors' local trace formula has the same consequences as in Arthur's paper on elliptic characters. The second chapter, written by Moeglin, gives a symmetric form of the local trace formula as in Arthur's paper on Fourier Transform of Orbital integral and describes any twisted orbital integral, in the p-adic case, as integral of characters.

Author : Jean-Pierre Labesse,Jean-Loup Waldspurger
Publisher : American Mathematical Soc.
Page : 264 pages
File Size : 47,9 Mb
Release : 2013-03-07
Category : Mathematics
ISBN : 9780821894415

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La Formule des Traces Tordue d'apres le Friday Morning Seminar by Jean-Pierre Labesse,Jean-Loup Waldspurger Pdf

La formule des traces pour un groupe reductif connexe arbitraire est due a James Arthur. Le cas tordu a fait l'objet du Friday Morning Seminar a l'Institute for Advanced Study de Princeton pendant l'annee academique 1983-1984. Lors de ce seminaire, des ex

Author : Werner Hoffmann,Satoshi Wakatsuki
Publisher : American Mathematical Soc.
Page : 88 pages
File Size : 46,7 Mb
Release : 2018-10-03
Category : Electronic
ISBN : 9781470431020

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On the Geometric Side of the Arthur Trace Formula for the Symplectic Group of Rank 2 by Werner Hoffmann,Satoshi Wakatsuki Pdf

The authors study the non-semisimple terms in the geometric side of the Arthur trace formula for the split symplectic similitude group and the split symplectic group of rank over any algebraic number field. In particular, they express the global coefficients of unipotent orbital integrals in terms of Dedekind zeta functions, Hecke -functions, and the Shintani zeta function for the space of binary quadratic forms.

Author : Chung Pang Mok
Publisher : American Mathematical Soc.
Page : 248 pages
File Size : 49,7 Mb
Release : 2015-04-09
Category : Mathematics
ISBN : 9781470410414

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Endoscopic Classification of Representations of Quasi-Split Unitary Groups by Chung Pang Mok Pdf

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.

Author : James W. Cogdell,Freydoon Shahidi,David Soudry
Publisher : American Mathematical Soc.
Page : 454 pages
File Size : 41,9 Mb
Release : 2014-04-01
Category : Mathematics
ISBN : 9780821893944

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Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro by James W. Cogdell,Freydoon Shahidi,David Soudry Pdf

This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

Author : Alastair J. Litterick
Publisher : American Mathematical Soc.
Page : 156 pages
File Size : 54,6 Mb
Release : 2018-05-29
Category : Affine algebraic groups
ISBN : 9781470428372

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On Non-Generic Finite Subgroups of Exceptional Algebraic Groups by Alastair J. Litterick Pdf

Author : Chin-Yu Hsiao
Publisher : American Mathematical Soc.
Page : 140 pages
File Size : 55,6 Mb
Release : 2018-08-09
Category : Electronic
ISBN : 9781470441012

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Szegő Kernel Asymptotics for High Power of CR Line Bundles and Kodaira Embedding Theorems on CR Manifolds by Chin-Yu Hsiao Pdf

Let X be an abstract not necessarily compact orientable CR manifold of dimension 2n−1, n⩾2, and let Lk be the k-th tensor power of a CR complex line bundle L over X. Given q∈{0,1,…,n−1}, let □(q)b,k be the Gaffney extension of Kohn Laplacian for (0,q) forms with values in Lk. For λ≥0, let Π(q)k,≤λ:=E((−∞,λ]), where E denotes the spectral measure of □(q)b,k. In this work, the author proves that Π(q)k,≤k−N0F∗k, FkΠ(q)k,≤k−N0F∗k, N0≥1, admit asymptotic expansions with respect to k on the non-degenerate part of the characteristic manifold of □(q)b,k, where Fk is some kind of microlocal cut-off function. Moreover, we show that FkΠ(q)k,≤0F∗k admits a full asymptotic expansion with respect to k if □(q)b,k has small spectral gap property with respect to Fk and Π(q)k,≤0 is k-negligible away the diagonal with respect to Fk. By using these asymptotics, the authors establish almost Kodaira embedding theorems on CR manifolds and Kodaira embedding theorems on CR manifolds with transversal CR S1 action.

Author : Roelof Bruggeman,Youngju Choie,Nikolaos Diamantis
Publisher : American Mathematical Soc.
Page : 167 pages
File Size : 42,9 Mb
Release : 2018-05-29
Category : Algebraic topology
ISBN : 9781470428556

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Holomorphic Automorphic Forms and Cohomology by Roelof Bruggeman,Youngju Choie,Nikolaos Diamantis Pdf

Author : Shouhei Honda
Publisher : American Mathematical Soc.
Page : 92 pages
File Size : 55,7 Mb
Release : 2018-05-29
Category : Geometry, Differential
ISBN : 9781470428549

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Elliptic PDEs on Compact Ricci Limit Spaces and Applications by Shouhei Honda Pdf

In this paper the author studies elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular the author establishes continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. The author applies these to the study of second-order differential calculus on such limit spaces.

Author : Anne-Laure Dalibard,Laure Saint-Raymond
Publisher : American Mathematical Soc.
Page : 111 pages
File Size : 40,5 Mb
Release : 2018-05-29
Category : Boundary layer
ISBN : 9781470428358

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Mathematical Study of Degenerate Boundary Layers: A Large Scale Ocean Circulation Problem by Anne-Laure Dalibard,Laure Saint-Raymond Pdf

Author : Cristian Anghel,Iustin Coandă,Nicolae Manolache
Publisher : American Mathematical Soc.
Page : 107 pages
File Size : 44,6 Mb
Release : 2018-05-29
Category : Chern classes
ISBN : 9781470428389

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Globally Generated Vector Bundles with Small C1 on Projective Spaces by Cristian Anghel,Iustin Coandă,Nicolae Manolache Pdf

Author : Sebastiano Carpi,Yasuyuki Kawahigashi,Roberto Longo,Mihály Weiner
Publisher : American Mathematical Soc.
Page : 85 pages
File Size : 49,5 Mb
Release : 2018-08-09
Category : Conformal invariants
ISBN : 9781470428587

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From Vertex Operator Algebras to Conformal Nets and Back by Sebastiano Carpi,Yasuyuki Kawahigashi,Roberto Longo,Mihály Weiner Pdf

The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra V a conformal net AV acting on the Hilbert space completion of V and prove that the isomorphism class of AV does not depend on the choice of the scalar product on V. They show that the class of strongly local vertex operator algebras is closed under taking tensor products and unitary subalgebras and that, for every strongly local vertex operator algebra V, the map W↦AW gives a one-to-one correspondence between the unitary subalgebras W of V and the covariant subnets of AV.

Author : Zhou Gang,Dan Knopf,Israel Michael Siga
Publisher : American Mathematical Soc.
Page : 78 pages
File Size : 47,9 Mb
Release : 2018-05-29
Category : Asymptotic expansions
ISBN : 9781470428402

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Neckpinch Dynamics for Asymmetric Surfaces Evolving by Mean Curvature Flow by Zhou Gang,Dan Knopf,Israel Michael Siga Pdf

Author : Matthew Harrison-Trainor
Publisher : American Mathematical Soc.
Page : 107 pages
File Size : 46,9 Mb
Release : 2018-05-29
Category : Angles (Geometry)
ISBN : 9781470428396

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Degree Spectra of Relations on a Cone by Matthew Harrison-Trainor Pdf

Author : Olivier Frécon
Publisher : American Mathematical Soc.
Page : 99 pages
File Size : 44,7 Mb
Release : 2018-10-03
Category : Electronic
ISBN : 9781470429232

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Algebraic Q-Groups as Abstract Groups by Olivier Frécon Pdf

The author analyzes the abstract structure of algebraic groups over an algebraically closed field . For of characteristic zero and a given connected affine algebraic Q -group, the main theorem describes all the affine algebraic Q -groups such that the groups and are isomorphic as abstract groups. In the same time, it is shown that for any two connected algebraic Q -groups and , the elementary equivalence of the pure groups and implies that they are abstractly isomorphic. In the final section, the author applies his results to characterize the connected algebraic groups, all of whose abstract automorphisms are standard, when is either Q or of positive characteristic. In characteristic zero, a fairly general criterion is exhibited.