Cohomological Hall Algebras, Their Representations, and Nakajima Operators

Explore a mathematics seminar lecture that delves into the theory of 2d cohomological Hall algebras (COHAs), with particular emphasis on those derived from zero-dimensional sheaves on smooth surfaces. Learn about geometric representations of COHAs and gain insights into Nakajima-type operators. Discover how these concepts are generalized and categorified in the latter portion of the presentation. Delivered by Francesco Sala from the University of Pisa, this advanced mathematical discussion spans both theoretical foundations and their extended applications in algebraic geometry.