DMS Algebra Seminar

Speaker: Keller VandeBogert (Notre Dame University)

Title: Stable Sheaf Cohomology via A-infinity Koszul Duality

Abstract: In arbitrary characteristic, it is known that the cohomology of line bundles on flag varieties eventually behaves like a fixed polynomial functor, depending only on the line bundle. Computing this "stable" polynomial functor remains a highly nontrivial open question with relatively few cases being known explicitly. In this talk, I will illustrate how the computation of stable cohomology may be significantly simplified by instead bundling sheaf theoretic data together as an algebra, then taking advantage of the A-infinity analogue of Koszul duality. This is joint work with Claudiu Raicu.