Selberg Trace Formula and K-theory

Hang Wang Íõº½  (ECNU)

10:00-11:00, April 12, 2018   Science Building A1510

Abstract:

Selberg trace formula is an equality of two ways (geometric and representation theoretic) of calculating the distribution character of the regular representation of a Lie group in its quotient by a discrete subgroup (usually an arithmetic subgroup). The formula has fundamental importance in automorphic forms in number theory. We introduce a K-theoretic formulation of the Selberg trace formula when the quotient is compact. This leads to my joint project with Peter Hochs and Bai-Ling Wang.

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