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Seminar

Fellowship of the Ring, National Seminar: Arithmetic deformations of F-singularities January 21, 2021 (05:00 PM PST - 06:30 PM PST)
Parent Program: --
Location: MSRI: Online/Virtual
Speaker(s) Shunsuke Takagi (University of Tokyo)
Description

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Abstract/Media

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Abstract:

F-singularities are singularities in positive characteristic defined via the Frobenius map. In the first half of the talk, I will survey a connection between F-singularities and singularities in complex binational geometry. In the second half of the talk, I will present a new application of Ma-Schwede’s theory of singularities in mixed characteristic. They proved that a Q-Gorenstein affine domain over a field of characteristic zero has log terminal singularities if its mod p reduction is F-regular for one single prime p. I will discuss the analog of their result for log canonical singularities. This talk is based on joint work with Kenta Sato.

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