Lecture----数学院晨兴数学中心

Title:	Cocenter of affine Hecke algebras
Speaker:	Xuhua He (university of Maryland)
Time:	2016-8-12, 10:00-11:00
Place:	610
Abstract:	It is known that the number of conjugacy classes of a finite group equals the number of irreducible representations (over complex numbers). The conjugacy classes of a finite group give a natural basis of the cocenter of its group algebra. Thus the above equality can be reformulated as a duality between the cocenter of the group algebra and the Grothendieck group of its finite dimensional representations. It is interesting to see what happens for p-adic groups. In the ICCM talk, I proposed a new approach towards this question. In this talk, I will mainly forcus on the Iwahori-level, the so-called affine Hecke algebras. In this case, we have a fairly satisfactory understand of cocenter and of cocenter-representation duality. It is based on the joint work with D. Ciubotaru, and with S. Nie.
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