Translators of the Gauss curvature flow

Abstract: We begin by reviewing the blow-up analysis for the minimal surfaces at isolated singularities, and will quickly discuss about some related recent developments in the singularity analysis for the mean curvature flow. Then, we will classify the translating surfaces under the flows by sub-affine-critical powers of the Gauss curvature, which is a Liouville theorem for a class of Monge-Ampere equations. We will put an emphasis on the divergence free property of the linearized operator of the Monge-Ampere equation. This is a joint work with Beomjun Choi and Soojung Kim.

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologysymplectic geometry

Audience: researchers in the topic

2021 Pacific Rim Complex & Symplectic Geometry Conference