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.