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Homotopy Theory Seminar - Gabriel Valenzuela

Gabriel Valenzuela
January 25, 2018
11:30AM - 12:30PM
Math Tower 154

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Add to Calendar 2018-01-25 11:30:00 2018-01-25 12:30:00 Homotopy Theory Seminar - Gabriel Valenzuela 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/ Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

Title: Stratification for homotopical groups

SpeakerGabriel 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 URLhttps://people.math.osu.edu/valenzuelavasquez.2/hts/

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