|Date: Thursday, November 29, 2018
Location: 4088 East Hall (3:00 PM to 4:00 PM)
Title: The gamma construction and applications
Abstract: Hochster and Huneke introduced the gamma construction to prove that test elements (in the sense of tight closure) exist on all rings essentially of finite type over excellent local rings of characteristic p > 0. Since then, the gamma construction has become a useful tool in tight closure theory when studying rings for which the Frobenius map is not module-finite. We present some new results about the gamma construction, which we use to study openness of F-singularities in the non-F-finite setting. We then use a scheme-theoretic version of these results to study asymptotic invariants of line bundles over arbitrary fields.
Speaker: Takumi Murayama
Institution: University of Michigan
Event Organizer: Eloísa Grifo and Mel Hochster