A proportionality of scalar curvatures on Hermitian manifolds and Schrödinger operators

Thursday, October 22, 2015 -
4:30pm to 5:30pm
Please note special day, time and location.   On a Kähler manifold there is a clear connection between the complex geometry and underlying Riemannian geometry. However, in the non-Kähler setting, such a link is not so obvious. I will discuss the existence of non-Kähler Hermitian metrics for which a certain proportionality relationship between the Chern and Riemannian scalar curvatures holds. The study of such metrics, in turn, leads to a general question concerning the behavior of the lowest eigenvalue of Schrödinger operators on compact Riemannian manifolds. This is joint work with Mike Dabkowski. 
Speaker: 
Mike Lock
University of Texas at Austin
Event Location: 
Fine Hall 601