Speaker: Shunsuke Takagi, University of Tokyo, Japan.
Date/Time: 11 February 2022, 5:30pm IST/ 12:00pm GMT / 7:00am ET (joining
time 5:15pm IST).
Gmeet link: meet.google.com/ytj-rdzc-tay
Title: Kodaira vanishing for thickenings of globally $F$-regular varieties.
Abstract: Blickle-Bhatt-Lyubeznik-Singh-Zhang proved that if $X$ is a
projective variety over a field $k$ of characteristic zero with isolated
complete intersection singularities, then the Kodaira vanishing theorem
holds for all thickenings of $X$. What if $k$ is of positive
characteristic? Kodaira vanishing can fail in positive characteristic, but
it still holds for Frobenius split varieties. In this talk, I will discuss
Kodaira vanishing for thickenings of globally $F$-regular varieties, a
special class of Frobenius split varieties. This talk is based on joint
work with Kenta Sato.
For more information and links to previous seminars, visit the website of
VCAS:
https://sites.google.com/view/virtual-comm-algebra-seminar