Tight closure, introduced by Hochster and Huneke, has proved to be an effective tool in studying classical ring properties and opened many directions into attacking problems. F-singularities, a.k.a. tight closure properties (to algebraists, at least), then become popular ring properties that researchers want to show for special classes of rings and algebras. In this talk, I will introduce several ways to show two of those, F-purity and F-regularity, through many examples.

The talk will be virtual, but we will have a watch party in our usual room. If you would like the zoom info to attend virtually instead, email an organizer or join our mailing list.