Title: Stratification for homotopical groups
Speaker: Gabriel Valenzuela (Ohio State University)
Abstract: The notion of a homotopical group captures and generalizes the properties of compact Lie groups that can be studied using homotopy theory. The goal of this talk is to present a stratification result for the category of modules over the ring spectrum of cochains on G for a broad class of homotopical groups G. We will focus on the techniques inspired by well-established results such as generalizations of Quillen's F-isomorphism theorem, Quillen's stratification theorem, and Chouinard's theorem to the context of homotopical groups. This is joint work with Natalia Castellana, Tobias Barthel, and Drew Heard.
Seminar URL: https://people.math.osu.edu/valenzuelavasquez.2/hts/