Correo Interno

Stability conditions, scattering diagrams and cluster algebras 1

Ponente: Lang Mou
Institución: University of California, Davis
Tipo de Evento: Investigación, Formación de Recursos Humanos
Cuándo 12/09/2019
de 16:30 a 18:00
Dónde Salón 1 de seminarios
Agregar evento al calendario vCal

Cluster algebras associated to quivers are additively categorified by categories modeled on quiver representations. Stability conditions and scattering diagrams of these categories are remarkably linked with the corresponding cluster algebras. I will first introduce scattering diagrams valued in graded Lie algebras in full generality and explain Kontsevich-Soibelman’s classification theorem. A canonical cone complex structure of a scattering diagram will be given. Then I will define Bridgeland’s stability scattering diagrams associated to quiver with potentials and explain how they can be used to study the corresponding cluster algebras.