Title: Groups acting on affine buildings and An spiders in positive characteristic
Speaker: Corey Jones - The Ohio State University
Abstract: An spiders are graphically defined monoidal categories that describe the representation theory of (quantum) sln+1. As such, they come equipped with a standard realization inside the monoidal category of finite dimensional vector spaces (called a fiber functor). However, it is very interesting to find more exotic fiber functors, yielding new Hopf algebras and interesting solutions to the Yang-Baxter equations. In this talk, we will explain a construction of exotic fiber functors for classical An in positive characteristic arising from groups acting freely and transitively on the vertices of a building of type affine An.
