03745nam 22006015 450 991035024740332120200629182225.0981-13-6628-410.1007/978-981-13-6628-4(CKB)4100000008525868(DE-He213)978-981-13-6628-4(MiAaPQ)EBC5754966(PPN)235668206(EXLCZ)99410000000852586820190416d2019 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierRepresentations of Reductive p-adic Groups[electronic resource] International Conference, IISER, Pune, India, 2017 /edited by Anne-Marie Aubert, Manish Mishra, Alan Roche, Steven Spallone1st ed. 2019.Singapore :Springer Singapore :Imprint: Birkhäuser,2019.1 online resource (XIII, 289 p. 4 illus., 3 illus. in color.) Progress in Mathematics,0743-1643 ;328981-13-6627-6 Chapter 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. .This 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.Progress in Mathematics,0743-1643 ;328Topological groupsLie groupsGroup theoryHarmonic analysisTopological Groups, Lie Groupshttps://scigraph.springernature.com/ontologies/product-market-codes/M11132Group Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Abstract Harmonic Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M12015Topological groups.Lie groups.Group theory.Harmonic analysis.Topological Groups, Lie Groups.Group Theory and Generalizations.Abstract Harmonic Analysis.512.55512.482Aubert Anne-Marieedthttp://id.loc.gov/vocabulary/relators/edtMishra Manishedthttp://id.loc.gov/vocabulary/relators/edtRoche Alanedthttp://id.loc.gov/vocabulary/relators/edtSpallone Stevenedthttp://id.loc.gov/vocabulary/relators/edtBOOK9910350247403321Representations of Reductive p-adic Groups1734554UNINA