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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 208: Seminar in Algebraic Geometry
Vignesh Jagathese
UIC
Quasi-F-Purity of Excellent Rings
Abstract:
Quasi-F-Splittings have proven to be a vital invariant in the study of varieties in positive characteristic, with numerous applications to birational geometry and F-singularities. In this talk I'll provide an overview of Quasi-F-Splittings and introduce a local variant, dubbed Quasi-F-Purity, which extends the theory of Quasi-F-Splittings to arbitrary prime characteristic fields. I will also discuss various permanence properties of Quasi-F-Purity, including stability under completion and étale extension.
Host: Kristin DeVleming
May 30, 2025
4:00 PM
APM 7321
Research Areas
Algebraic Geometry****************************
