3:45PM: Algebra structures on short free resolutionsLars ChristensenLet $R$ be a quotient of a regular local ring $Q$. If the free resolution of $R$ over $Q$ has length $2$, then its structure is given by the HilbertBurch Theorem. For longer resolutions the structure is significantly harder to describe, but for resolutions of length $3$ a partial classification is available. I will discuss some recent progress, achieved in collaboration with Oana Veliche and Jerzy Weyman, towards completion of this classification.

5:00PM: The Golod Property for Monomial IdealsDavid BerlekampThe Golod property for monomial ideals is implied by a simple criterion on GCD's. This can be used to prove that the product of any two monomial ideals is Golod.
