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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Twisted factorizations and multiple cluster struct
 ures in simple Lie groups - Misha Gekhtman (Univer
 sity of Notre Dame)
DTSTART;TZID=Europe/London:20211111T161500
DTEND;TZID=Europe/London:20211111T164500
UID:TALK164809AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/164809
DESCRIPTION:We present a construction for cluster charts in si
 mple Lie groups compatible with\nPoisson structure
 s in the Belavin-Drinfeld classification. The key 
 ingredient is\na birational Poisson map from the g
 roup to itself that transform a Poisson &nbsp\;bra
 cket associated\nwith a nontrivial Belavin-Drinfel
 d data into the standard one.&nbsp\; It allows us 
 to obtain a\ncluster chart as a pull-back of the B
 erenstein-Fomin-Zelevinsky cluster 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
CONTACT:
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