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SUMMARY:Twisted factorizations and multiple cluster structures in simple L
 ie groups - Misha Gekhtman (University of Notre Dame)
DTSTART:20211111T161500Z
DTEND:20211111T164500Z
UID:TALK164809@talks.cam.ac.uk
DESCRIPTION:We present a construction for cluster charts in simple Lie gro
 ups compatible with\nPoisson structures in the Belavin-Drinfeld classifica
 tion. The key ingredient is\na birational Poisson map from the group to it
 self that transform a Poisson &nbsp\;bracket associated\nwith a nontrivial
  Belavin-Drinfeld data into the standard one.&nbsp\; It allows us to obtai
 n a\ncluster chart as a pull-back of the Berenstein-Fomin-Zelevinsky clust
 er coordinates\non the open double Bruhat cell. This is a joint work with 
 M. Shapiro and A. Vainshtein.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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