Seminario Geometría

From Hilbert schemes of points on smooth surfaces to Cohomological Hall Algebras

Ponente:  Francesco Sala (Università di Pisa)
Fecha:  martes 04 de julio de 2023 - 10:00
Lugar:  Aula Gris 2, ICMAT


The present talk is devoted to a gentle introduction to the theory of cohomological Hall algebras (COHAs) and how they arose from the study of the topology of moduli spaces, such as Hilbert schemes of points on smooth complex surfaces, and how they are connected to the theory of quantum groups, notably Yangians, the elliptic Hall algebra, quantum loop algebras, etc. In the second part of the talk, I will address the problem of constructing new representations of COHAs by using torsion pairs.