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Algebraic Geometry Seminar, UC Davis

Thomas Lam, University of Michigan

Positroids, clusters, and Catalan numbers

Organizer's time: 2021-02-23 11:00 America/Los_Angeles

Duration: 1 hour

Positroid varieties are subvarieties of the Grassmannian obtained by intersecting cyclic rotations of Schubert varieties. I will talk about a recent result relating the (singular) cohomology of positroid varieties and to q,t-Catalan theory. I will also explain some features of the cohomology of the more general class of cluster varieties.

Submitted by: Eugene Gorsky