Representation theory of real reductive Lie groups : AMS-IMS-SIAM Joint Summer Research Conference, June 4-8, 2006, Snowbird, Utah / James Arthur, Wilfried Schmid, Peter E. Trapa, editors.

Format:

Book

Conference/Event

Author/Creator:

AMS-IMS-SIAM Joint Summer Research Conference, Corporate Author.

Contributor:

Arthur, James, 1944- editor.

Schmid, Wilfried, 1943- editor.

Trapa, Peter E., 1974- editor.

Conference Name:

AMS-IMS-SIAM Joint Summer Research Conference (2006 : Snowbird, Utah), issuing body.

AMS-IMS-SIAM Joint Summer Research Conference

Series:

Contemporary mathematics (American Mathematical Society) ; v. 472.

Contemporary mathematics ; 472

Language:

English

Subjects (All):

Representations of Lie groups--Congresses.

Representations of Lie groups.

Physical Description:

1 online resource (258 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2008]

Language Note:

English

Contents:

""Contents""; ""Preface""; ""Guide to the Atlas Software: Computational Representation Theory of Real Reductive Groups""; ""Problems for Real Groups""; ""1. Endoscopic transfer""; ""2. Endoscopic character identities""; ""3. Orthogonality relations""; ""4. Weighted orbital integrals""; ""5. Intertwining operators and residues""; ""6. Twisted groups""; ""7. Trace identities for intertwining operators""; ""8. Construction of A-packets""; ""9. Properties of A-packets""; ""10. Functorial transfer""; ""References""; ""Unitarizable Minimal Principal Series of Reductive Groups""; ""1. Introduction""

""2. Minimal principal series for real groups""""3. Graded Hecke algebra and p-adic groups""; ""4. Petite K-types for split real groups""; ""5. Spherical unitary dual""; ""6. Lists of unitary spherical parameters""; ""References""; ""Computations in Real Tori""; ""Weighted Orbital Integrals""; ""Introduction to Endoscopy""; ""1. Introduction""; ""1.1. What is endoscopy about?""; ""1.2. The contents of these lectures""; ""2. Some basic definitions""; ""2.1. Orbital integrals""; ""2.2. Pseudo-coefficients for discrete series""; ""2.3. Stable conjugacy""; ""2.4. L-packets""

""2.5. Arthur packets""""2.6. The Weil and the Langlands groups""; ""2.7. L-groups and Langlands parameters""; ""3. GL(2)""; ""3.1. Representations of GL(2,R)""; ""3.2. Langlands parameters for G L(2, R)""; ""3.3. Endoscopy for GL(2, F)""; ""4. SL(2)""; ""4.1. Endoscopy for SL(2, R)""; ""4.2. Representations of SL(2, R)""; ""4.3. Langlands parameters for SL(2, R)""; ""4.4. Character identities""; ""4.5. Asymptotic behaviour of orbital integrals and geometric transfer""; ""5. U(2, 1)""; ""5.1. Endoscopy for U(2, 1)""; ""5.2. Discrete series and transfer for U(2, 1)""

""5.3. The dual picture for U(2, 1)""""6. Galois cohomology and Endoscopy""; ""6.1. Non abelian hypercohomology""; ""6.2. Galois cohomology and abelianized cohomology""; ""6.3. Stable conjugacy and k-orbital integrals""; ""6.4. Stable conjugacy and compact Cartan subgroups over R""; ""6.5. Endoscopic groups""; ""6.6. The dual picture""; ""6.7. Endoscopic transfer""; ""7. Discrete series and endoscopy""; ""7.1. L-packets of discrete series over R""; ""7.2. General Discrete transfer""; ""8. Further developments""; ""8.1. K-groups""; ""8.2. The twisted case""

""8.3. Trace formula stabilization""""9. Bibliography""; ""Tempered Endoscopy for Real Groups I: Geometric Transfer with Canonical Factors""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-8151-5

0-8218-4366-4