2005-10-28
Alexander Varchenko, University of North Carolina at Chapel
Hill
The flag variety structure of solutions to the Bethe ansatz
equations
Critical points of master functions associated to a simple Lie algebra
come in families called populations. Every population is isomorphic
to the flag variety of the Langlands dual Lie algebra. The
construction of populations of critical points is based on the
reproduction procedure which allows one to construct a family of
critical point from a given one.