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Singularities mod p, and singularities in mixed characteristic

Hot Topics: The Homological Conjectures March 12, 2018 - March 16, 2018

March 16, 2018 (04:00 PM PDT - 05:00 PM PDT)
Speaker(s): Karl Schwede (University of Utah)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

18-Schwede

Abstract

Suppose that R is a local ring of mixed characteristic. Using recent breakthrough results of André on the existence of big Cohen-Macaulay algebras, we defined a mixed characteristic analog of the multiplier ideal / test ideal and show it satisfies many of the same formal properties as its equal characteristic brethren. Using the same ideas, we show that if R is mixed characteristic and local and R/pR has F-rational or F-regular singularities, then R itself has analgous singularities in mixed characteristic. This is joint work with Linquan Ma

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31012?type=thumb Schwede 413 KB application/pdf Download
Video/Audio Files

18-Schwede

H.264 Video 18-Schwede.mp4 400 MB video/mp4 rtsp://videos.msri.org/data/000/030/935/original/18-Schwede.mp4 Download
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