Amanda Burcroff (MIT)

Title: Combinatorial aspects of cluster scattering diagrams

Abstract: While scattering diagrams originated from mirror symmetry in physics, they have since become fundamental to understanding positivity phenomena in cluster algebras. We'll discuss many properties of cluster scattering diagrams in rank 2, including recent connections to tight gradings on Dyck paths and to quiver representations. Based on joint works with Kyungyong Lee, Lang Mou, Gregg Musiker, and Markus Reineke.

Location: PK-5675 - Président-Kennedy Building, UQAM