Speaker: Prof.Eric Opdam,Korteweg-de Vries Institute for Mathematics, University of Amsterdam Inviter: 数学所 Title: Harmonic analysis and affine Hecke algebras Time & Venue: 2013.4.23/26/29/5.3 2:30pm C110 Abstract: We will discuss the Plancherel formula of an affine Hecke algebra and its applications to the harmonic analysis of reductive p-adic groups.We hope to discuss the following topics: -Affine Hecke algebras. -Hilbert algebra structure of an affine Hecke algebra. -The abstract Plancherel formula. -The trace on the Bernstein basis. -The mu function of the Hecke algebra. -Residue calculus for the trace functional, and the support theorem. -The Schwartz completion of the Hecke algebra. -The comparison theorem for algebraic and tempered extensions. -The classification of the discrete series and their formal degrees. -Borel's theorem and Hecke algebras of types for reductive p-adic groups. -Unipotent representations of unramified absolutely quasi-simple groups.