Fri, February 11, 2022
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5:00pm [5:30pm] Shunsuke Takagi, University of Tokyo, Japan.
Description:
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
6:00pm