An Obstruction to Constant Scalar Curvature Kahler Metrics

JOINT IAS/PRINCETON COMPLEX GEOMETRY SEMINAR
Topic:An Obstruction to Constant Scalar Curvature Kahler Metrics
Speaker:Julius Ross
Affiliation:Columbia University
Date:Wednesday, March 2
Time/Room:2:30pm - 3:30pm/West Building Lecture Hall

(Joint work with Richard Thomas) I will discuss K-stability and its relation to constant scalar curvature metrics. This leads to a notion of slope stability for manifolds in terms of its subschemes, which gives an obstruction to finding constant scalar curvature Kahler metrics in a given rational Kahler class.