Analysis Seminar

Distance estimate on Kähler manifolds

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.

Date & Time

December 02, 2019 | 5:00pm – 6:00pm

Location

Simonyi Hall 101

Affiliation

Member, School of Mathematics

Event Series

Categories