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SUMMARY:Cluster structures on braid varieties
DTSTART:20220519T131500
DTEND:20220519T150000
DTSTAMP:20260406T202412Z
UID:7e9ba90b0cfb989044282e13f176333d832781e5f045feb63f4e81ff
CATEGORIES:Conferences - Seminars
DESCRIPTION:José Simental Rodriguez (Max Planck Institute for Mathematics
 \, Bonn)\nGiven 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 tha
 t generalize many well-known varieties in Lie theory\, including open Rich
 ardson varieties. In joint work with Roger Casals\, Eugene Gorsky\, Mikhai
 l 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 clu
 ster varieties.
LOCATION:CM 0 9 https://plan.epfl.ch/?room==CM%200%209
STATUS:CONFIRMED
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