|Topic:||Distance estimate on Kähler manifolds|
|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.