Seminar
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Location: | SLMath: Online/Virtual |
To attend this seminar, you must register in advance, by clicking HERE.
Arithmetic Deformations Of F-Singularities
To attend this seminar, you must register in advance, by clicking HERE.
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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