Cluster structures on braid varieties
Event details
| Date | 19.05.2022 |
| Hour | 13:15 › 15:00 |
| Speaker | José Simental Rodriguez (Max Planck Institute for Mathematics, Bonn) |
| Location | |
| Category | Conferences - Seminars |
| Event Language | English |
Given a simply-laced complex simple Lie group and an element $\beta$ of its positive braid monoid, we construct an algebraic variety $X(\beta)$ called the braid variety. These are smooth, affine varieties that generalize many well-known varieties in Lie theory, including open Richardson varieties. In joint work with Roger Casals, Eugene Gorsky, Mikhail Gorsky, Ian Le and Linhui Shen, we give an explicit cluster structure to the coordinate ring of $X(\beta)$ using the combinatorics of algebraic weaves. In particular, this shows that open Richardson varieties are cluster varieties.
Practical information
- Informed public
- Free
Organizer
- Oscar Kivinen
Contact
- Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)