“Curved differential graded algebras and their derived categories”
Martedì 31 Ottobre 2023, ore 17:00 - Aula 2AB40 - Alessandro Lehmann (University of Antwerpen - SISSA)
Abstract
Curved differential graded algebras are a generalization of the notion of differential graded algebras to a setting where the differential might fail to square to zero. I will explain how these emerge as deformations of differential graded algebras and the challenges that arise in trying to generalize the notion of quasi-isomorphism and derived categories to the curved setting. Finally, I will give a tentative definition of a filtered derived category of a curved algebra and explain its main properties and possible applications.
