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- Equivariant localization and Atiyah-Segal completion for Hochschild and cyclic homology

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There is a close relationship between derived loop spaces, a geometric object, and Hochschild homology, a categorical invariant, made possible by derived algebraic geometry, thus allowing for both intuitive insights and new computational tools. In the case of a quotient stack, we discuss a "Jordan decomposition" of loops which is made precise by an equivariant localization result. We also discuss an Atiyah-Segal completion theorem which relates completed periodic cyclic homology to Betti cohomology.

COVID-19 information for PI Residents and Visitors

Collection/Series:

Event Type:

Seminar

Scientific Area(s):

Speaker(s):

Event Date:

Thursday, October 24, 2019 - 13:30 to 15:00

Location:

Alice Room

Room #:

301

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