Algebraic Topology Seminar

Building 2, 131

Speaker: Tasos Moulinos (Institute for Advanced Study)Title: Towards an analogue of the filtered circle over the sphereAbstract: I will begin by describing past work with Robalo and Toën on the filtered circle. This is an abelian group stack whose category of representations corresponds to filtered complexes with a compatible S1 action. By mapping this object into schemes, one recovers the HKR filtration on Hochschild homology.I will then describe some first steps toward lifting this construction to the setting of spectral algebraic geometry over the sphere spectrum, using the theory of synthetic spectra and the even filtration of Hahn-Raksit-Wilson./su