Tue, September 22, 2020
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5:00pm [5:30pm] Shunsuke Takagi, University of Tokyo
Description:
Date and Time: 22 September 2020, 5:30 pm IST (joining time : 5:15 pm IST - 5:30 pm IST) Google meet link: meet.google.com/sdz-bspz-uhu Speaker: Shunsuke Takagi, University of Tokyo Title: F-singularities and singularities in birational geometry - Part 1 Abstract: F-singularities are singularities in positive characteristic defined using the Frobenius map and there are four basic classes of F-singularities: F-regular, F-pure, F-rational and F-injective singularities. They conjecturally correspond via reduction modulo $p$ to singularities appearing in complex birational geometry. In the first talk, I will survey basic properties of F-singularities. In the second talk, I will explain what is known and what is not known about the correspondence of F-singularities and singularities in birational geometry. If the time permits, I will also discuss its geometric applications.

6:00pm