Cluster structures on braid varieties

Abstract: Given a positive braid, one can define a smooth affine algebraic variety called the braid variety. Braid varieties generalize several important varieties in Lie theory such as open Richardson and positroid varieties. I will construct a cluster structure on a braid variety of arbitrary type using combinatorial objects called weaves. This is a joint work with Roger Casals, Mikhail Gorsky, Ian Le, Linhui Shen and Jose Simental.

combinatorics

Audience: learners

UCLA Combinatorics Forum

Series comments: This quarter, the talks will be in-person with no Zoom livestream.