Cluster structures on Schubert varieties in the Grassmannian

Abstract: Cluster algebras are a class of commutative rings with a (usually infinite) set of distinguished generators, grouped together in overlapping subsets called "clusters." They were defined by Fomin and Zelevinsky in the early 2000s; since their definition, connections have been found to representation theory, Teichmuller theory, discrete dynamical systems, and many other branches of math. I'll discuss joint work with K. Serhiyenko and L. Williams, in which we show that homogeneous coordinate rings of Schubert varieties in the Grassmannian are cluster algebras, with clusters coming from a particularly nice combinatorial source.

algebraic geometry

Audience: researchers in the discipline

American Graduate Student Algebraic Geometry Seminar

Series comments: The American Graduate Student Algebraic Geometry Seminar (AGSAGS) is a virtual seminar by and for algebraic geometry graduate students.

The goal of this seminar is for graduate students to share their research through online talks and to provide an algebraic geometry graduate networking system. Grad students, postdocs, and professors are welcome to attend.

Seminars will be held on Mondays at 4 p.m. Eastern on Zoom. We hope this time is convenient for graduate students in the Americas, hence the name AGSAGS. Prior registration is required and interested participants should register here: sites.google.com/view/agsags/registration. In addition to graduate talks, there will be occasional social events.