In this talk we give an overview of some aspects of the representation theory of affine Hecke algebras. It is planned to be accessible. In particular we hope to discuss the definitions, basic combinatorics, basic representation theory, the associated C*-algebra, representations of this C*-algebra, and approaches to the Plancherel Theorem.
My personal interest in studying this beautiful theory has been driven by probabilistic questions on affine buildings and p-adic Lie groups.
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After the seminar we will take the speaker to lunch.
See the Algebra Seminar web page for information about other seminars in the series.
James East james.east@sydney.edu.au
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