Symplectic Leaves of Complex Reductive Poisson-Lie Groups
  All factorizable Lie bialgebra structures on complex reductive Lie algebras were described by Belavin and Drinfeld. We classify the symplectic leaves of the full class of corresponding connected Poisson-Lie groups. A formula for their dimensions is also proved. 
Milen Yakimov (University of California at Berkeley)