Commutative Algebra Seminar

Date: Friday, Sep 18, 2026

Time: 2:00PM - 3:00PM

Location: LCB 215

Anne Fayolle

University of Utah

Title	Perfectoid purity for pairs
Abstract	In positive characteristic, a ring is said to be F-pure if the Frobenius is a pure map. This can be extended to mixed characteristic by requiring the existence of a pure map to a perfectoid ring. We will discuss when and how we can extend this theory to pairs (R,D). This is based on joint work in progress with Cai, Ma, Schwede, Smirnov, Tucker and Waldron.

Commutative Algebra