Title: Computing the Algebra of Conformal Blocks for sl_4

Abstract: Conformal blocks are finite-dimensional vector spaces that arise from the WZNW model of conformal field theory. These have applications in algebraic geometry, particularly in describing the moduli of principal bundles and the moduli of curves. In this talk, we will discuss recent progress on computing a presentation of the algebra of conformal blocks for sl_4. We also describe equations, the tropical variety, and a large family of toric degenerations for the case of a cone with genus 0 and 3 marked points.