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NIASRA Seminar Series
April 4, 2014 @ 10:00 am - 11:00 am
Curvature contraction of convex hypersurfaces
Convex hypersurfaces contracting by their curvature have been of widespread mathematical interest since Huisken’s seminal work on the mean curvature flow in 1984. This flow and others were introduced in the 1950s as models for the annealing process in metals; curvature flows more generally have various other practical applications as well as applications in topological classification of hypersurfaces. I will discuss some old and new results for fully nonlinear curvature contraction flow of convex hypersurfaces, considering in particular cases of self-similar solutions, flat sides and non-smooth initial data and speeds.