Speaker
Lynch, Stephen
(King's College London)
Description
Many fascinating phenomena occur when a submanifold of higher codimension is evolved by its mean curvature vector. In this more general setting much of the structure of hypersurface flows is absent e.g. embeddedness and mean-convexity fail to be preserved. Consequently, even in the simplest settings (closed curves in 3-space, surfaces in 4-space) basic questions remain unanswered. I will describe some of these open questions, and recent developments concerning flows satisfying natural curvature pinching conditions (from joint works with Nguyen and Bourni, Langford).
