Automorphic forms Seminar

Overview : Satake isomorphism identifies a Hecke algebra with an algebra of symmetric polynomials (this just one approximate version of the statement). Versions of Satake isomorphism arise in representation theory, Langlands programme, combinatorics (in the study of Macdonald and Kazhdan-Lusztig polynomials). Its geometrization (due to Drinfeld, Mirkovic-Vilonen and others) plays a role in geometric representation theory and algebraic geometry.

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