Mon, 20 Feb 2023
Mean curvature flow deforms immersed surfaces by the negative gradient flow of the area functional. In this talk I will introduce Alexandrov immersed mean curvature flow, and extend Andrew's non-collapsing estimate to include Alexandrov immersed surfaces. This implies a gradient estimate for the flow, and allows Brendle and Huisken's mean curvature flow with surgery to be extended beyond flows of embedded surfaces to the Alexandrov immersed case. This is joint work with Elena Maeder-Baumdicker.