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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