Canonical bases and coherent sheaves

Abstract: The primary application of canonical bases in a Grothendieck group of representations is to computation of characters of (say) irreducible representations; however, it is not their only application. I will review construction and properties of canonical bases in Grothendieck groups of coherent sheaves on the Springer resolution and related spaces and speculate on possible generalization to a new setting involving the fixed group of an involution. The toolbox includes linear Koszul duality of Mirkovic-Riche and a version of Soergel bimodules theory.

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.