Topology and Related Topics Seminar
Tuesday, 3 October 2023, 2:30 pm
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Venue: Room 215
Host: Rekha Santhanam
Speaker: Bittu Singh
Affiliation: IIT Bombay
Title: Quillen stratification theorem
Abstract: In our previous sessions, we have successfully constructed the universal bundle and demonstrated the equivalence between two definitions of group cohomology from both algebraic and topological perspectives. In this talk, I will present the proof of a theorem, which asserts that if the total space of a principal G-bundle is aspherical, it is indeed the universal bundle. Additionally, I will introduce another approach to constructing the universal G-bundle using simplicial sets, an approach attributed to Milnor.