Date: 03/04/2022

Speaker: Eric Bucher

Red Sizes for Cluster Algebras
Maximal green sequences were defined by Keller and play a role in the theory of Fomin and Zelevinsky's cluster algebras. They also arise in representation theory, wall-crossing, and the computation of Donaldson-Thomas invariants. Ahmad and Li have considered a numerical measure of how close a quiver is a possessing a maximal green sequence. This talk provides the background and a survey of the study of this measure and the more general notion of reddening sequences (which are also referred to as green-to-red sequences). This work is joint with John Machacek (University of Oregon).