Closure operations and rational singularities

This talk will focus on the ways closure operations can be used to detect rational singularities and its analogues. I will give characteristic-free properties a closure operation needs to have in order to generate something like F-rational singularities (joint with Zhan Jiang). Then I will define a closure operation in equal characteristic 0 that can be used to detect singularities there without reduction to characteristic p (joint with Neil Epstein, Peter McDonald, and Karl Schwede).

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