Monday, 12 November, 2012 - 15:00
Prénom de l'orateur :
Sean
Nom de l'orateur :
Paul
Résumé :
Let X be a smooth, linearly normal, complex projective (nonlinear) variety. Let B be the Bergman metrics corresponding to this embedding. The speaker will discuss the proof of the following Theorem :
The K-energy of X (with respect to the Fubini-Study metric on X) is bounded below on B if and only if it is bounded below on all one parameter degenerations in B.
This completely reduces the check of the energy bound (at least on B) to a purely finite polyhedral - combinatorial problem in algebraic geometry.
Institution de l'orateur :
U. Wisconsin
Thème de recherche :
Algèbre et géométries
Salle :
04