Speaker: Ahsan Khan (CMSA)

Title: BPS Algebras in Landau-Ginzburg Models

Abstract: The study of BPS states in supersymmetric quantum field theory has been a fruitful source of both mathematical and physical insights. In particular their study often leads to rich algebraic structures – from the “Algebra of the Infrared” of Gaiotto-Moore-Witten to the “Cohomological Hall Algebras” of Kontsevich-Soibelman. In this talk, I will provide an overview of some of these algebraic constructions, with a particular emphasis on BPS states in two-dimensional Landau-Ginzburg models. In the second half of the talk, I will discuss how these algebraic structures can be extended to more general Landau-Ginzburg models defined by closed holomorphic one-forms.