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Mean curvature flows of higher codimension

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If you have a question about this talk, please contact Giacomo Ageno .

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.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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