• Speaker: Keaton Naff
  • Time: 5:30-6:30
  • Abstract: In the mean curvature flow of hypersurfaces, noncollapsing has proven to be a powerful and useful assumption when studying singularities and high curvature regions. In particular, the assumption of noncollapsing has been used to prove a wide range of local a priori estimates and has led to classification results for certain classes of singularity models. Less is known for immersed mean-convex flows. In this talk, I would like to survey recent results and discuss outstanding conjectures for immersed mean-convex flows that begin to bridge the gap between the embedded and immersed mean-convex settings. The talk is based on joint work with S. Brendle and ongoing work with S. Lynch.