Symmetries of extremal metrics on projective bundles and stability

Friday, April 15, 2011 -
4:00pm to 6:00pm
In this talk, we will discuss some partial results in a project initiated by Vestislav Apostolov aiming to solve a conjecture about the specific form of an extremal Kahler metric on a projective bundle over a curve. The conjecture, on one hand, connects to the Donaldson-Uhlenbeck-Yau Theorem and, on the other hand relates the existence of extremal metrics to the stability of the vector bundle, which is a natural extension of Yau's conjecture in the case of Kaehler Einstein metric when the first Chern class of the Kaehler manifold is positive.
Speaker: 
Hongnian Huang
CIRGET, University of Quebec at Montreal
Event Location: 
Fine Hall 314