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Gao Chen: Lectures

September 12, 2018
TITLE: G_{2} manifolds with nodal singularities along circles

ABSTRACT: In this talk, I will explain my recent attempt on the construction of G_{2} 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 G_2 and slow rate of convergence to the cone metric is constructed on a ball inside the cone over the flag manifold.