Séminaires : Séminaire d'Algèbre

 The notion of a stability condition on a triangulated category was introduced by Bridgeland, based on the study of slope stability of vector bundles over curves and the Π-stability of D-branes in string theory. The theory of stability conditions has since played an important role in many branches of mathematics, such as mirror symmetry, Donaldson-Thomas invariants and cluster theory.

In this talk, I will provide an overview of the theory of Bridgeland stability conditions. Following this, I will introduce the notion of relative stability conditions on triangulated categories and illustrate the deformation property of the spaces of relative stability conditions. The motivation for this concept arises from the link between Bridgeland stability and deformed Hermitian-Yang-Mills metrics. The talk is based on joint work with Bowen Liu.

This talk will take place in hybrid mode at the Institut Henri Poincaré.