Algebraic Geometry Seminar: Goresky-MacPherson duality and deformations of Koszul algebras
Speakers
Details
Goresky and MacPherson observed that certain pairs of
algebraic varieties with torus actions have equivariant cohomology
rings that are "dual" in a sense that I will define. Examples of
such pairs come up naturally in both representation theory and
combinatorics. I will explain how this duality is in fact a shadow
of a much deeper relationship, in which certain categories of sheaves
on the varieties are Koszul dual to each other.
