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Presented By: Department of Mathematics

Student Combinatorics Seminar

Crystal-like structures on shifted tableaux (for orthogonal Schubert calculus)

I'll talk about shifted Young tableaux, which are (among their various applications) the Type B analogs of ordinary Young tableaux -- they give the structure constants for the cohomology rings of odd orthogonal Grassmannians.

I'll talk about some crystal-like structures I've been working on for these tableaux (jointly with Maria Gillespie and Kevin Purbhoo), motivated by wanting a local combinatorial rule for a tableau-theoretic operation coming from geometry.

This work is still in progress, so I will try to keep the talk casual and draw lots of pictures. Speaker(s): Jake Levinson (University of Michigan)

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