Cohomological Hall algebras and affine Yangians

Date: 2022-07-25

Time: 11:00 - 12:00


Francesco Sala


The first part of the talk is devoted to a gentle overview of the theory of 2-dimensional cohomological Hall algebras of quivers, their relations to Maulik-Okounkov Yangians, and vertex algebras (in the case of the one-loop quiver, the latter is motivated by the Alday-Gaiotto-Tachikawa conjecture for the complex plane). The second part of the talk will focus on cohomological Hall algebras of surfaces. In details, I will discuss the case when the surface is a minimal resolution of an ADE singularity. If time permits, I will speculate about possible relations to vertex algebras, motived by the Alday-Gaiotto-Tachikawa conjecture for ADE singularities.