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. 
Mike Lock
University of Texas at Austin
Event Location: 
Fine Hall 601