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Seminar

Fellowship of the Ring, National Seminar: Cohen-Macaulayness of absolute integral closures August 27, 2020 (01:30 PM PDT - 03:30 PM PDT)
Parent Program: --
Location: MSRI: Online/Virtual
Speaker(s) Bhargav Bhatt (University of Michigan)
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Cohen-Macaulayness Of Absolute Integral Closures

Abstract/Media

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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.

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Cohen-Macaulayness Of Absolute Integral Closures

H.264 Video 25109_28571_8451_Cohen-Macaulayness_of_Absolute_Integral_Closures.mp4