Geometric Flows and Geometric Operators

seminar: Mean curvature flow of submanifolds of high codimension

speaker: Charles Baker ( Mathematical Sciences Institute, Australian National University)

abstract: We present results from the speaker's doctoral thesis concerning the mean curvature flow of submanifolds of arbitrary codimension of both Euclidean and spherical backgrounds. In particular, we show that under a certain pinching condition the submanifolds flow to round points in finite time. These results may be considered as high codimension analogues of the corresponding hypersurface theorems of Huisken. Also new is special connection used on the spacetime product manifold that builds in the Uhlenbeck trick, which simplifies the derivation of evolution equations of geometric quantities.

timetable:
Fri 8 May, 17:00 - 18:00, Aula Dini
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