April 10, 2018
TITLE: Classification of gravitational instantons
ABSTRACT: A gravitational instanton is a noncompact complete hyperkähler 4-manifold with faster than quadratic curvature decay. In this talk, I will discuss the classification of gravitational instantons. This is a joint work with Xiuxiong Chen.
September 13, 2017
TITLE: Rate of asymptotic convergence near isolated singularity of a G2 manifold
ABSTRACT: In this talk, a metric with holonomy contained in and slow rate of convergence to the cone metric is constructed on a ball inside the cone over the ﬂag manifold.