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Math-Physics Joint Seminar

Tuesday, October 10, 2017 - 4:30pm

Harrison Chen

University of California Berkeley


University of Pennsylvania


There is a close relationship between derived loop spaces, a geometric object, and (periodic) cyclic homology, a categorical invariant.  In this talk we will discuss this relationship and how it manifests in an equivariant localization result, which has an intuitive interpretation using the language of derived loop spaces.  We discuss ongoing generalizations and potential applications in computing the periodic cyclic homology of categories of equivariant (coherent) sheaves on algebraic varieties.