Keller VandeBogert

ABSTRACT

In 1978, Lascoux famously computed the equivariant minimal free resolutions of arbitrary determinantal rings. In the same year, Avramov singled out a related but more subtle problem: to compute the Poincaré series of the residue field over a determinantal ring. Aside from a few very special cases, this question has remained open. In this talk, I will explain a solution to this problem, based on the fact that determinantal rings, while not Koszul in any classical sense in general, are structurally much closer to Koszul algebras than one might expect.

This is joint work with Steven V Sam and Jerzy Weyman.