PIRSA ID: 19100081
Series: Mathematical Physics
Event Type: Seminar
Scientific Area(s): Mathematical Physics
End date: 2019-10-24
Speaker(s): Harrison Chen Cornell University
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.