School of Mathematics Seminars and Lectures

Seshadri stratification and standard monomial theory

by Dr. Sarjick Bakshi (TIFR, Mumbai)

Tuesday, September 27, 2022 from to (Asia/Kolkata)
at AG-77
Description
Abstract: In this talk we will discuss a preprint of
Chirvi-Fang-Littelmann `Seshadri stratification and standard monomial
theory'. https://arxiv.org/pdf/2112.03776.pdf

The theory of Seshadri stratifications has been developed by
Littelmann-Chirvi-Fang with the intention to build up a new geometric
approach towards a standard monomial theory for embedded projective
varieties with certain nice properties. The authors show that the Seshadri
stratification provides a geometric setup for a standard monomial theory.
In their framework, Lakshmibai-Seshadri paths for Schubert varieties get a
geometric interpretation as successive vanishing orders of regular
functions.