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A generalization of the saturation theorem

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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.