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SUMMARY:Deformations of log-canonical Poisson brackets with an open T-leaf
DTSTART:20250424T130000Z
DTEND:20250424T140000Z
DTSTAMP:20260416T080000Z
UID:indico-event-352@math-events.uni-bonn.de
DESCRIPTION:Speakers: Mykola Matviichuk: (MPIM)\n\nMPI-Oberseminar\nA log-
 canonical Poisson bracket is one of the form {x_i\,x_j} = lambda_{ij} x_i
  x_j. Assuming there exists an action of an algebraic torus T that preserv
 es the bracket and admits an open T-leaf (i.e. an open T-orbit of a symple
 ctic leaf)\, I will describe all T-invariant Poisson deformations of { \, 
 }. The key result here is an unobstructedness phenomenon akin to the Bogom
 olov-Tian-Todorov theorem in the deformation theory of Calabi-Yau manifold
 s. Time permitting\, I will discuss applications of this deformation-theor
 etic approach to the Poisson brackets on Bott-Samelson varieties and Poiss
 on CGL extensions in the sense of Goodearl-Yakimov. This is joint work wit
 h Jiang-Hua Lu.\n\nhttps://math-events.uni-bonn.de/event/352/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/352/
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