Distance estimate on Kähler manifolds

Analysis Seminar
Topic:Distance estimate on Kähler manifolds
Speaker:Yang Li
Affiliation:Member, School of Mathematics
Date:Monday, December 2
Time/Room:5:00pm - 6:00pm/Simonyi Hall 101

I will prove the following surprising fact: on a given Kahler manifold (X, J, \omega), a Holder bound on the Kahler potential \phi implies a Holder bound on the distance function of the new Kahler metric \omega+dd^c \phi. Time permitting I will also discuss the ramifications of this result, and some backgrounds in pluripotential theory.