Relative Bridgeland Stability Conditions
数学专题报告
报告题目(Title)：Relative Bridgeland Stability Conditions
报告人(Speaker)：吴东箭（清华大学）
地点(Place)：后主楼1223
时间(Time)：3月12日 14:30-15:30
邀请人(Inviter)：肖杰、覃帆、周宇、兰亦心
报告摘要
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, etc.
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 linkage between Bridgeland stability and the deformed Hermitian-Yang-Mills metrics. This is based on a joint work with Bowen Liu.
