Seminari del Dipartimento di Matematica

Seminario del 2022

Francesco Sala (Università di Pisa)

Representations of cohomological Hall algebras of surfaces via torsion pairs

nell'ambito della serie: SEMINARIO DI ALGEBRA E GEOMETRIA

algebra e geometria

The first part of the talk is devoted to a gentle introduction to the theory of cohomological Hall algebras (COHAs for brevity) of surfaces and their categorification. Moreover, their “quantum” nature will be discussed. In addition, the Dolbeaut cohomological Hall algebras of curves will be introduced. During the second part of the talk, I will address the problem of constructing pairs consisting of a COHA and a representation of it canonically associated to torsion pairs of the abelian category of coherent sheaves on a smooth projective complex surface S.