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Mathematical Research at the University of Cambridge

 

Many fascinating phenomena occur when a submanifold of higher codimension is evolved by its mean curvature vector. Much of the structure of hypersurface flows is absent in this more general setting e.g. embeddedness and mean-convexity fail to be preserved. Consequently, even in the simplest cases (closed curves in 3-space, surfaces in 4-space) many basic questions remain unanswered. I will describe some of these, and present recent developments concerning singularity formation from joint works with Nguyen and Bourni--Langford.

Further information

Time:

24Nov
Nov 24th 2025
14:00 to 15:00

Venue:

MR13

Speaker:

Stephen Lynch (King's College London)

Series:

Geometric Analysis & Partial Differential Equations seminar