Minimal free resolutions of finitely generated modules over a hypersurface ring (e.g., a polynomial ring over a field quotiented by a nonzero element) can be infinite, but they turn out to still have a finiteness aspect, as they always become periodic (of period 1 or 2) or terminate after finitely many steps. In this talk, we'll present a proof of this result by Eisenbud. Along the way, we'll discuss the relationships between periodic resolutions over hypersurface rings, matrix factorizations, and maximal Cohen-Macaulay modules.

This talk will also be livestreamed via Zoom. Speaker(s): Teresa Yu (University of Michigan, Ann Arbor)