Let X be a smooth projective surface. In 2002, Bridgeland defined a notion of stability for objects in Db (X), which can be thought of as a generalization of slope stability for vector bundles on curves. The work of Bayer-Macri and of Toda shows that there are nice connections between deformations in Stab(X), the space of all Bridgeland stability conditions on X and the birational geometry of X. I will discuss the case in which X contains a smooth projective curve C of negative self-intersection.
Tuesday, April 5th, at 4:00pm in HBH 227
Return to talks from Spring 2016