Cohen-Macaulayness of absolute integral closures

Abstract: A deep theorem of Hochster-Huneke in F-singularity theory is that the absolute integral closure of an excellent noetherian local domain R over F_p is Cohen-Macaulay. In other words, all relations on a system of parameters in R become trivial after passing to a finite cover of R. In this talk, I'll discuss the analog of this result in mixed characteristic, as well as some consequences.

commutative algebra

Audience: researchers in the topic

Fellowship of the Ring

Series comments: Description: National Commutative Algebra Seminar

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