Commutative Algebra Seminar
Anna Brosowsky
University of Michigan
The Cartier core map for Cartier algebras
Abstract: For a local $F$-finite ring, the splitting prime is an "obstruction" to strong $F$-regularity. In this talk, we will define the self-map on the Frobenius split locus of a ring $R$ which sends a point $P$ to the splitting prime of $R_P$, and discuss the generalization of this map to the setting of Cartier algebras. We will go over some properties of this map and, as an application, will show how it behaves for Stanley-Reisner rings.
Tuesday October 18, 2022 at 11:00 AM in 636 SEO