Milen Yakimov
UC Santa Barbara
Poisson Lie groups and Poisson homogeneous spaces
February 15, 4-5, MH 234
Abstract. The theory of Poisson Lie groups and their
homogeneous spaces was developed extensively in the last 20
years. After Drinfeld's 1986 ICM talk it played crucial role in the
representation theory of Hopf algebras by a generalization of the
Kirillov-Kostant orbit method. It was further discovered that it
explains in a uniform way the complete integrability of numerous
dynamical systems. In this talk we will make an overview of these
developments and will discuss the geometry of Poisson structures on
simple algebraic groups and flag varieties. Both classes are
(unexpectedly) related to classical and modern combinatorial
structures as Schubert cells and cluster algebras. This talk is based
on joint works with
K. Brown and K. Goodearl.
Slobodan
N. Simić
Last modified: Fri Feb 10 10:32:34 PST 2006