# 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.