September 12, 2018
TITLE: manifolds with nodal singularities along circles
ABSTRACT: In this talk, I will explain my recent attempt on the construction of manifolds with nodal singularities along circles using twisted connected sum method. It turns out that the obstruction space is infinite dimensional.
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.