Cluster structures on braid varieties


Event details

Date 19.05.2022 13:1515:00  
Speaker José Simental Rodriguez (Max Planck Institute for Mathematics, Bonn)
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


  • Oscar Kivinen


  • Monique Kiener (if you want to attend to the seminar by zoom, please contact me, and I'll give you the link)

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