Algebra & Combinatorics Seminar

Title: Alternating Schur Algebras and Koszul Duality
Speaker: Amritanshu Prasad (IMSc, Chennai)
Date: 08 May 2019
Time: 3 pm
Venue: LH-5, Mathematics Department

Schur classified polynomial representations of GL(n) using the commuting actions of the dth symmetric group and GL(n) on the d-fold tensor power of n-dimensional space. We set out to investigate what happens when the symmetric group in this picture is shrunk to the alternating group. This led to a simple interpretation and clearer understanding of the Koszul duality functor on the category of polynomial representations of GL(n).

This is based on joint work with T. Geetha and Shraddha Srivastava (https://arxiv.org/abs/1902.02465).


Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 15 Nov 2019