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.