The previous lecture in this series is here. The next lecture in this series is here.
I will first describe the notion of Bridgeland stability conditions on triangulated categories. Then I will focus on stability conditions on the bounded derived category of coherent sheaves on curves, surfaces and threefolds. In the end, some recent applications of Bridgeland stability conditions in classical algebraic geometry and Donaldson-Thomas Theory will be explained.
This video is part of the London Mathematical Society‘s Online Graduate Lecture Series. These are supported by the LMS, and organized by the COW (Cambridge-Oxford-Warwick), EmSG (East Midlands Seminar in Geometry), and GLEN (Glasgow-Liverpool-Edinburgh-Newcastle) algebraic geometry networks.