# Highest weight categories arising from Khovanovâ€™s diagram algebra I

SPEAKER: Jonathan Brundan

TITLE: Highest weight categories arising from Khovanov’s diagram algebra

ABSTRACT I will discuss the quasi-hereditary covers of Khovanov’s diagram algebras and their generalisations. These are standard Koszul algebras with an explicit cellular basis given in terms of a diagram calculus. They were discovered by Khovanov, as part of his work categorifying the Jones polynomial in knot theory. I will try to explain some of the connections between these algebras and Grassmannians, parabolic category O and the general linear supergroup. This is a report on joint work with Catharina Stroppel.