On a Conjecture Concerning Littlewood-Richardson Coefficients.
Mercedes Rosas, (UQAM)
Abstract: Fomin, Fulton, Li, and Poon defined an operation on pairs of
partitions. They conjectured that a certain symmetric function associated
to this operation is Schur-positive.
We obtain a combinatorial description of this operation that allows us to
generalize the conjecture, to prove many instances of it, and to show that
it holds asymptotically.
This is join work with Francois Bergeron and Riccardo Biagioli.
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