Shadows of Lie theory in the world of matroids

Abstract: I will discuss a program (partly conjectural) exploring analogues of the Schur algebra and category $\mathcal O$ for matroids and oriented matroids. This program was motivated in large part by work of Braden-Licata-Proudfoot-Webster. The talk will be based on joint work with Tom Braden and work in progress with Jens Eberhardt and Ethan Kowalenko. I will not assume prior knowledge of matroid

representation theory

Audience: researchers in the topic

MIT Lie groups seminar

Series comments: Description: Research seminar on Lie groups

This seminar will take place entirely online: Zoom Meeting Link. You should be able to watch live video at this link. Your microphone will be muted, but you are welcome to unmute it (microphone icon on the lower left of the Zoom window, perhaps visible only when you put your mouse near there) to ask a question.