Topology and Geometry Seminar
Wed., Mar. 6, 2024 12:30 p.m.
Location: CL 251
Speaker: Hari Rau-Murthy, University of Notre Dame
Title: An HKR theorem for factorization homology, and a related project in character theory (97 kB)
Abstract:
This talk will primarily be on a generalization of the so-called "HKR theorem". The classical HKR theorem concerns two different ways of generalizing the notion of differential forms on a ring; the theorem asserts they agree. I will give a generalization of this theorem for ring spectra which will allow us to recalculate the factorization homology/higher THH of rational KU.
Time permitting, I will give an advertisement for the ongoing work which motivated the above result (you, yes you! could be my collaborator). I am interested in using K-theory and higher THH to write down maps such as the character of a representation and the Chern character. Written versions of both of these projects are available on my website at:
hariraumurthy.github.io
Topology and Geometry Seminar: https://www.reginatopology.ca/seminar