Reading Seminar
Thursday, 10 February · 2:30 – 3:30 pm
Google Meet joining info
Video call link: https://meet.google.com/auv-mwkn-ixh
The speaker is Sarjick Bakshi. He will give the second talk on the
following topics.
Title: Modular representations of Algebraic groups,
Abstract:
We will discuss a few important and classical theorems in the
representation theory of reductive algebraic groups like the
Borel-Weil-Bott theorem, Kempf's vanishing theorem. The main reference
would be Jantzen's book ``Representation theory of Algebraic Groups'' and a
note by Andersen ``Modular representation of Algebraic groups and Relations
to Quantum groups''.
Time:
5:30pm
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