Speaker: 

Kyeongsu Choi

Institution: 

Korea Institute for Advanced Study (KIAS)

Time: 

Tuesday, February 9, 2021 - 4:00pm to 5:00pm

Location: 

Zoom

The mean curvature flow is an evolution of hypersurfaces satisfying a geometric heat equation. The mean curvature flow in general develops singularities, and the topology of the hypersurface is changed through singularities. To study the topological change, we consider ancient flows which can be obtained by the blow-up of the flow at singularities. In this talk, we will discuss how to use the classification result of ancient flows for singularities analysis and topology.