A generalization of the saturation theorem

Michael Kapovich, UC Davis

The goal of this talk is to give a generalization of the saturation theorem of Knutson and Tao to reductive groups G other than GL(n). I will also describe a conjectural picture (and provide a partial evidence for) of the semigroup of triples of dominant weights, such that the triple tensor product of the corresponding irreducible representations of G has a nonzero invariant vector. This is a joint work with John Millson.