Hankyung Ko – OIST Representation Theory Seminar – 28th September 2021

Title: Bruhat orders and Verma modules

Abstract: The Bruhat order on a Weyl group has a representation theoretic interpretation in terms of Verma modules. The talk concerns resulting interactions between combinatorics and homological algebra. I will present several questions around the above realization of the Bruhat order and answer them based on a series of recent works, partly joint with Volodymyr Mazorchuk and Rafael Mrden.