Rebecca Tramel : Bridgeland stability conditions and birational geometry of surfaces

Posted by Matthew Woolf , part of the Algebraic Geometry Seminar.

At

March 8, 2017, 4 p.m.

In

SEO 427

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.