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Commutative Algebra Seminar

The Cartier core map for Cartier algebras
Thursday, September 29, 2022
3:00-4:00 PM (password: algebra) Virtual East Hall Map
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.
Speaker(s): Anna Brosowsky (University of Michigan)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics