By
Abstract: Extremal Kähler metrics are introduced by Calabi
in 1982 as part of the quest for finding "canonical" Riemannian
metrics on compact complex manifolds. Examples of such metrics include the Kähler-Einstein metrics, or more generally, Kähler metrics with constant scalar curvature. In this
talk, I will start with an expository discussion on extremal
metrics. Then I will show that, in dimension 4, these metrics satisfy a conformally-invariant version of the classical
Einstein-Maxwell equations, known as the Bach-Maxwell equations, and thereby
are related to physics (conformal gravity) in a surprising and mysterious way.
Date: Tuesday, June
3, 2014
Time: 15:40
Place: Mathematics Seminar Room,
SA-141
All are most cordially invited.
Tea and biscuits: after the seminar