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Speaker: Portia Anderson (Â鶹ÍøÕ¾)

Title: Commutative Properties of Schubert Puzzles with Convex Polygonal Boundary Shapes

Abstract: Schubert puzzles are combinatorial gadgets that perform computations in Schubert calculus, i.e. they compute the structure constants of the cohomology ring of the Grassmannian. While Schubert puzzles are classically triangular, in this talk we generalize them to include puzzles of other convex polygonal shapes. We present theorems on the commutative properties of these convex polygonal puzzles, which generalize the basic commutative property of triangular puzzles.