Automorphisms of open positroid varieties from braids

Abstract: Positroid varieties are distinguished subvarieties of Grassmannians which have cluster structure(s). I will give some reminders on the combinatorics underlying these cluster structures, partially based on a joint work with Melissa Sherman-Bennett. In a previous work, I described an action of a certain braid group on the top-dimensional positroid subvariety by "quasi" cluster automorphisms. I will explain how a similar statement can be extended to arbitrary open positroid varieties. This is joint with Bernhard Keller.

K-theory and homologyquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

Paris algebra seminar

Series comments: For the Zoom links and passwords, please subscribe to the mailing list (link and password will be emailed shortly before each talk) or contact one of the organizers. The slides and notes are available here. For recordings of talks, please contact Bernhard Keller.