Whittaker reduction for group-valued moment maps

We introduce a multiplicative version of Whittaker reduction for Poisson actions of a semisimple complex Poisson-Lie group G. The reduction takes place along a class of transversal slices to unipotent orbits in G, which are generalizations of the Steinberg cross-section and are indexed by conjugacy classes in the Weyl group. We apply this construction to produce multiplicative analogues of many classical varieties in geometric representation theory.

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.