Stratification for cochain algebras on Borel constructions of G-spaces

Abstract: For G a compact Lie group and X a finite G-CW complex I will discuss how the the Borel equivariant cohomology ring of X with Fp coefficients controls the structure of the derived category of the cochain algebra of the Borel construction on X. I will also indicate how generalizing from finite groups to compact Lie groups and G-spaces allows one to study some of the categories that appear in modular representation theory via categories that have structure that doesn’t appear at the purely algebraic level.

commutative algebraalgebraic topologyquantum algebrarepresentation theory

Audience: researchers in the topic

DG methods in commutative algebra and representation theory

Series comments: Description: Online special session

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