Grassmannian categories of infinite rank

Abstract: In this talk, I'll describe our work towards providing an infinite rank version of the Grassmannian cluster categories introduced by Jensen, King and Su. We show that there is a structure preserving bijection between Plücker coordinates and the generically free modules of rank 1 in our Grassmannian category of infinite rank. In the k=2 case, this allows us to model our category, and its cluster combinatorics, using triangulations of an infinity-gon. This is joint work with Man-Wai Cheung, Eleonore Faber, Sira Gratz and Sibylle Schroll.

combinatoricscategory theoryrepresentation theory

Audience: researchers in the topic

( slides )

The TRAC Seminar - Théorie de Représentations et ses Applications et Connections