DIFFERENTIAL GEOMETRY SEMINAR

 

"Extremal Kähler Metrics and Bach-Maxwell Equations"

 

By

 

CANER KOCA

(VANDERBILT UNIVERSITY)

 

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