Schubert coefficients are nonnegative integers that arise in Algebraic Geometry and play a central role in Algebraic Combinatorics. It is a major open problem whether they have a combinatorial interpretation, i.e., they are in #P. In this talk we discuss the closely related problem of the positivity of Schubert coefficients. We prove a positive rule for this problem based on two standard assumptions.
This is joint work with Igor Pak.
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