Brian Nugent, University of Washington

CMU B006
In this talk, we will prove a boundedness theorem for numerically trivial line bundles. In the course of the proof I will introduce tools that have a wide array of applications such as vanishing theorems, CastelnuovoMumford regularity and the Quot scheme. The main purpose of the talk is not the theorem itself but rather to give an example of how these powerful tools are used.