Add to Outlook calendar Add to Google calendar

Algebra & Combinatorics Seminar

Title: Local vanishing for toric varieties
Speaker: Sridhar Venkatesh (University of Michigan, Ann Arbor, USA)
Date: 27 June 2024
Time: 2 pm
Venue: LH-1, Mathematics Department

Let $f:Y \to X$ be a log resolution of singularities which is an isomorphism over the smooth locus of $X$, and the exceptional locus $E$ is a simple normal crossing divisor on $Y$. We prove vanishing (and non-vanishing) results for the higher direct images of differentials on $Y$ with log poles along $E$ in the case when $X$ is a toric variety. Our consideration of these sheaves is motivated by the notion of $k$-rational singularities introduced by Friedman-Laza. This is joint work with Anh Duc Vo and Wanchun Shen.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Jul 2024