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Diffeomorphism groups, infinite dimensional geometry and K-theory

Infinite-Dimensional Geometry December 07, 2013 - December 08, 2013

December 07, 2013 (04:00 PM PST - 04:35 PM PST)
Speaker(s): Guoliang YU (Texas A & M University)
Location: Evans Hall
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Abstract I will discuss how geometry of infinite dimensional manifolds can be used to study K-theory for certain diffeomorphism groups. The main tool is a noncommutative space (C*-algebra) naturally associated to the infinite dimensional manifold. I will try to make this talk accessible to non-experts. This is joint work with Jianchao Wu.
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