03939nam 2200613 450 991078863500332120220819043030.00-8218-8222-8(CKB)3240000000070066(EBL)3113289(SSID)ssj0000850343(PQKBManifestationID)11530765(PQKBTitleCode)TC0000850343(PQKBWorkID)10833041(PQKB)11712396(MiAaPQ)EBC3113289(RPAM)16637058(PPN)197108733(EXLCZ)99324000000007006620110204h20112011 uy| 0engur|n|---|||||txtccrHarmonic analysis on reductive, p-adic groups AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic Groups, January 16, 2010, San Francisco, CA /Robert S. Doran, Paul J. Sally, Jr., Loren Spice, editorsProvidence, Rhode Island :American Mathematical Society,[2011]©20111 online resource (294 p.)Contemporary mathematics,5430271-4132Description based upon print version of record.0-8218-4985-9 Includes bibliographical references.Contents -- Preface -- List of Participants -- Toward a Mackey formula for compact restriction of character sheaves -- Supercuspidal characters of SL2 over a p-adic field -- 1. Introduction -- 2. Field extensions -- 3. Tori -- 4. A principal-value integral -- 5. The building and filtrations -- 6. Haar measure -- 7. Duality, Fourier transforms, and orbital integrals -- 8. Unrefined minimal K-types -- 9. Representations of depth zero -- 10. Representations of positive depth -- 11. Parametrization of supercuspidal representations -- 12. Inducing representations -- 13. Murnaghan-Kirillov theory -- 14. "Ordinary" supercuspidal characters -- 15. "Exceptional" supercuspidal characters -- References -- Geometric structure in the representation theory of reductive p-adic groups II -- The construction of Hecke algebras associated to a Coxeter group -- 1. The Hecke algebras of finite reductive groups -- 2. Coxeter groups -- 3. The Hecke algebra of a Coxeter group -- 4. Generators and relations -- 5. References -- Distinguished supercuspidal representations of SL2 -- 1. Introduction -- 2. Elliptic tori -- 3. Involutions of SL2 -- 4. Multiplicity constants -- 5. Supercuspidal representations -- 6. Distinguished toral supercuspidal representations -- 7. Distinguished depth-zero supercuspidal representations -- Appendix A. The building and the Moy-Prasad groups -- References -- Twisted Levi sequences and explicit types on Sp4 -- Regularity and distinction of supercuspidal representations -- Patterns in branching rules for irreducible representations of SL2(k), for k a p-adic field -- Parametrizing nilpotent orbits in p-adic symmetric spaces -- An integration formula of Shahidi -- Managing metaplectiphobia: Covering p-adic groups.Contemporary mathematics,5430271-4132Representations of Lie groupsCongressesp-adic groupsCongressesHarmonic analysisCongressesRepresentations of Lie groupsp-adic groupsHarmonic analysis512/.48222E5011F7022E3520G2520C3320G4020G05mscDoran Robert S.1937-Sally Paul J.Jr.,1933-2013,Spice Loren1981-AMS Special Session on Harmonic Analysis and Representations of Reductive, p-adic GroupsMiAaPQMiAaPQMiAaPQBOOK9910788635003321Harmonic analysis on reductive, p-adic groups763922UNINA