Mathematics Colloquium
Tuesday, 24th Jan 2023 at 2.30 pm
Venue: Ramanujan Hall
Host: Sudhir R Ghorpade
Speaker: Mrinmoy Datta
Affiliation: IIT Hyderabad
Title: Codes from Schubert varieties and their parameters
Abstract: The codes from Schubert varieties, a natural generalization of the codes from Grassmann
varieties, have drawn the attention of several mathematicians in the recent past. In this talk, we will
review the known results regarding some basic parameters of these codes (such as dimension and
minimum distance) and present recent developments on a conjecture related to the characterization
of minimum distance codewords of these codes by Ghorpade and Singh. We will also present recent
results on the generalized Hamming weights of the codes from Schubert varieties. This is a joint work
with Sudhir Ghorpade and Avijit Panja.