DMS Algebra Seminar

Speaker: Justin Lyle (Auburn)

Title: Derived Complete Intersections

Abstract: A classical result of Gulliksen characterizes complete intersection rings as those for which the Betti numbers of any module have polynomial growth. In this talk, we extend this line of investigation to DG-algebras, and give a characterization of those DG-algebras over which any DG-module has polynomial growth of Betti numbers, ultimately concluding that, up to derived equivalence, these are exactly the finitely generated polynomial algebras (in the DG sense) over a regular base.

This talk is based on joint work with Michael Brown.