LEADER 03718nam 22006015 450 001 9910350247403321 005 20200629182225.0 010 $a981-13-6628-4 024 7 $a10.1007/978-981-13-6628-4 035 $a(CKB)4100000008525868 035 $a(DE-He213)978-981-13-6628-4 035 $a(MiAaPQ)EBC5754966 035 $a(PPN)235668206 035 $a(EXLCZ)994100000008525868 100 $a20190416d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aRepresentations of Reductive p-adic Groups $eInternational Conference, IISER, Pune, India, 2017 /$fedited by Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone 205 $a1st ed. 2019. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Birkhäuser,$d2019. 215 $a1 online resource (XIII, 289 p. 4 illus., 3 illus. in color.) 225 1 $aProgress in Mathematics,$x0743-1643 ;$v328 311 $a981-13-6627-6 327 $aChapter 1: Introduction to the local Langlands correspondence -- Chapter 2. Arithmetic of cuspidal representations -- Chapter 3. Harmonic analysis and affine Hecke algebras -- Chapter 4. Types and Hecke algebras. . 330 $aThis book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell?Kutzko?s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike. 410 0$aProgress in Mathematics,$x0743-1643 ;$v328 606 $aTopological groups 606 $aLie groups 606 $aGroup theory 606 $aHarmonic analysis 606 $aTopological Groups, Lie Groups$3https://scigraph.springernature.com/ontologies/product-market-codes/M11132 606 $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078 606 $aAbstract Harmonic Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12015 615 0$aTopological groups. 615 0$aLie groups. 615 0$aGroup theory. 615 0$aHarmonic analysis. 615 14$aTopological Groups, Lie Groups. 615 24$aGroup Theory and Generalizations. 615 24$aAbstract Harmonic Analysis. 676 $a512.55 676 $a512.482 702 $aAubert$b Anne-Marie$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMishra$b Manish$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aRoche$b Alan$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSpallone$b Steven$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910350247403321 996 $aRepresentations of Reductive p-adic Groups$91734554 997 $aUNINA