Ana Balibanu (Louisiana State University)
CIRGET/LACIM Algebraic Geometry Seminar
Title: An analogue of Whittaker reduction for group-valued moment maps
Abstract: Let G be a semisimple complex group and let M be a Hamiltonian G-space. Whittaker reduction is a type of Hamiltonian reduction along Slodowy slices that encodes the Poisson geometry of M in the direction transverse to the action of G. We construct a multiplicative analogue of this reduction in the setting of Poisson-Lie groups, where the moment map takes values in the group G (rather than in the dual of its Lie algebra). Whittaker reduction then occurs along a class of transversal slices to unipotent orbits in G which generalize the Steinberg
crosssection and are indexed by conjugacy classes in the Weyl group.
Location: UQAM PK-5675