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November 23, 2022
Wednesday, November 23
Transformation Groups Seminar
Time: 09:30
Speaker: Sergio Chaves (University of Rochester)
Title: "Free and flat extension pairs in equivariant cohomology"
Room: https://westernuniversity.zoom.us/s/93798234275, Passcode: 520011

Abstract: The equivariant cohomology of a space with an action of a group $G$ inherits a canonical module structure over the cohomology ring of $BG$. In this talk, we study pair of groups $K \subseteq G$ such that some algebraic properties of the $G$-equivariant cohomology are captured by the action of the subgroup $K$.

Motivated by compact connected Lie group, torus and cyclic group actions, we generalize these reductions into the notions of free and flat extension pairs in equivariant cohomology.

If time permits, we will discuss related results into the equivariant cohomology of canonical cyclic group actions on surfaces arising as real moment-angle complexes.