Equivalent Definitions of Arthur Packets for Real Classical Groups

Equivalent Definitions of Arthur Packets for Real Classical Groups PDF Author: J. Adams
Publisher: American Mathematical Society
ISBN: 1470471051
Category : Mathematics
Languages : en
Pages : 122

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Equivalent Definitions of Arthur Packets for Real Classical Groups

Equivalent Definitions of Arthur Packets for Real Classical Groups PDF Author: J. Adams
Publisher: American Mathematical Society
ISBN: 1470471051
Category : Mathematics
Languages : en
Pages : 122

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On The Langlands Program: Endoscopy And Beyond

On The Langlands Program: Endoscopy And Beyond PDF Author: Wee Teck Gan
Publisher: World Scientific
ISBN: 9811285837
Category : Mathematics
Languages : en
Pages : 449

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Book Description
This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.

The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$

The Further Chameleon Groups of Richard Thompson and Graham Higman: Automorphisms via Dynamics for the Higman-Thompson Groups $G_{n,r}$ PDF Author: C. Bleak
Publisher: American Mathematical Society
ISBN: 1470471450
Category : Mathematics
Languages : en
Pages : 108

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Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras

Amenability and Weak Containment for Actions of Locally Compact Groups on $C^*$-Algebras PDF Author: Alcides Buss
Publisher: American Mathematical Society
ISBN: 1470471523
Category : Mathematics
Languages : en
Pages : 100

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On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations

On the Nodal Set of Solutions to a Class of Nonlocal Parabolic Equations PDF Author: Alessandro Audrito
Publisher: American Mathematical Society
ISBN: 1470471353
Category : Mathematics
Languages : en
Pages : 130

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Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension

Symbolic Dynamics for Nonuniformly Hyperbolic Maps with Singularities in High Dimension PDF Author: Ermerson Araujo
Publisher: American Mathematical Society
ISBN: 1470471337
Category : Mathematics
Languages : en
Pages : 130

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The Strong K�nneth Theorem for Topological Periodic Cyclic Homology

The Strong K�nneth Theorem for Topological Periodic Cyclic Homology PDF Author: Andrew J. Blumberg
Publisher: American Mathematical Society
ISBN: 1470471388
Category : Mathematics
Languages : en
Pages : 114

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Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems

Prandtl-Meyer Reflection Configurations, Transonic Shocks, and Free Boundary Problems PDF Author: Myoungjean Bae
Publisher: American Mathematical Society
ISBN: 1470462702
Category : Mathematics
Languages : en
Pages : 252

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Level One Algebraic Cusp Forms of Classical Groups of Small Rank

Level One Algebraic Cusp Forms of Classical Groups of Small Rank PDF Author: Gaëtan Chenevier
Publisher: American Mathematical Soc.
ISBN: 147041094X
Category : Mathematics
Languages : en
Pages : 134

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Book Description
The authors determine the number of level 1, polarized, algebraic regular, cuspidal automorphic representations of GLn over Q of any given infinitesimal character, for essentially all n≤8. For this, they compute the dimensions of spaces of level 1 automorphic forms for certain semisimple Z-forms of the compact groups SO7, SO8, SO9 (and G2) and determine Arthur's endoscopic partition of these spaces in all cases. They also give applications to the 121 even lattices of rank 25 and determinant 2 found by Borcherds, to level one self-dual automorphic representations of GLn with trivial infinitesimal character, and to vector valued Siegel modular forms of genus 3. A part of the authors' results are conditional to certain expected results in the theory of twisted endoscopy.

Representation Theory of Real Reductive Lie Groups

Representation Theory of Real Reductive Lie Groups PDF Author: James Arthur
Publisher: American Mathematical Soc.
ISBN: 0821843664
Category : Mathematics
Languages : en
Pages : 258

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Book Description
"The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. The papers in this volume were presented at The AMS-IMS-SIAM Joint Summer Research Conference "Representation Theory of Real Reductive Lie Groups" held in Snowbird, Utah in June 2006, with the aim of elucidating the problems that remain, as well as explaining what tools have recently become available to solve them. They represent a significant improvement in the exposition of some of the most important (and often least accessible) aspects of the literature." "This volume will be of interest to graduate students working in the harmonic analysis and representation theory of Lie groups. It will also appeal to experts working in closely related fields."--BOOK JACKET.