MIT-Harvard-MSR Combinatorics Seminar : Cluster Duality for Lagrangian and Orthogonal Grassmannians


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December 3, 2021 3:30 pm - 4:30 pm
Science Center 507
Address: 1 Oxford Street, Cambridge, MA 02138 USA

Charles Wang - Harvard University


Rietsch and Williams relate cluster structures and mirror symmetryfor type A Grassmannians Gr(k, n), and use this interaction to construct Newton-Okounkovbodies and associated toric degenerations. In this talk, we define a cluster seed for theLagrangian Grassmannian, construct the associated Newton-Okounkov body, and prove that it agrees (up to unimodular equivalence) with a polytope obtained from the superpotential defined by Pech and Rietsch on the mirror Orthogonal Grassmannian.