04371nam 2200601 450 991082259350332120170814182031.00-8218-8151-50-8218-4366-4(CKB)3240000000069998(EBL)3113172(SSID)ssj0000629440(PQKBManifestationID)11359702(PQKBTitleCode)TC0000629440(PQKBWorkID)10735700(PQKB)11046728(MiAaPQ)EBC3113172(RPAM)15313939(PPN)197107990(EXLCZ)99324000000006999820080603h20082008 uy| 0engur|n|---|||||txtccrRepresentation 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, editorsProvidence, Rhode Island :American Mathematical Society,[2008]©20081 online resource (258 p.)Contemporary mathematics ;472Description based upon print version of record.Includes bibliographical references.""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""Contemporary mathematics (American Mathematical Society) ;v. 472.Representations of Lie groupsCongressesRepresentations of Lie groups512/.482Arthur James1944-Schmid Wilfried1943-Trapa Peter E.1974-AMS-IMS-SIAM Joint Summer Research ConferenceMiAaPQMiAaPQMiAaPQBOOK9910822593503321Representation theory of real reductive Lie groups782493UNINA