## Algebraic Geometry Seminar

Rebecca Tramel

UIUC

Bridgeland stability conditions and birational geometry of surfaces

**Abstract:**In 2002, Bridgeland defined a notion of stability for objects in the derived category of a projective variety. This definition was meant to correspond to Douglas' definition of Pi-stability for D-branes in string theory. Since 2002, many connections have been made between stability conditions on a variety and its birational geometry. I will discuss some of these connections in the case of a smooth projective surface.

Wednesday March 8, 2017 at 4:00 PM in SEO 427