Stability conditions, scattering diagrams and cluster algebras 2
Institución: University of California, Davis
Tipo de Evento: Investigación, Formación de Recursos Humanos
de 16:30 a 18:00
|Dónde||Salón 1 de seminarios|
|Agregar evento al calendario||
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.