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UID:30@math.technion.ac.il

DTSTART;TZID=Asia/Jerusalem:20230330T123000

DTEND;TZID=Asia/Jerusalem:20230330T143000

DTSTAMP:20250109T093459Z

URL:https://math.technion.ac.il/events/cable-car-algebra-seminar-poisson-l
 ie-groups-and-cluster-structures/

SUMMARY:Cable Car Algebra Seminar: Poisson-Lie groups and cluster structure
 s
DESCRIPTION:Lecturer:Alek Vainstein (Haifa U.)\n Location:Amado 814\n It is
  well known that cluster structures and Poisson structures in the algebra 
 of regular functions on a quasi-affine variety are closely related. In thi
 s talk\, I will discuss this connection for Poisson structures on a simple
  simply connected complex Lie group G defined by a pair of classical R-mat
 rices. The key element of the construction is a rational Poisson map from 
 the group with a bracket defined by pair of suitably chosen standard R-mat
 rices to the same group with an arbitrary pair of R-matrices. In the case\
 , of G=SL_n one can build explicitly the corresponding cluster structure a
 nd prove its regularity and completeness.\n 
CATEGORIES:Algebra Seminar,Seminars
LOCATION:Amado 814

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