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CMS Coxeter-James Lecture / Conférence Coxeter-James de la SMC
- JINGYI CHEN, The University of British Columbia
Recent developments in mean curvature flow of higher codimension
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Mean curvature flow is the gradient flow of the volume functional of
submanifolds which are smoothly immersed in a higher dimensional
manifold. Along the flow, volume of the submanifold is decreasing. The
flow satisfies a parabolic system of nonlinear partial differential
equations. In this talk, we shall discuss some recent progress in mean
curvature flow of submanifolds of codimension at least two (the
non-hypersurface case). In particular, motivated by geometric and
topological applications, we shall discuss the motion of real
2-dimensional symplectic surfaces in a Kahler-Einstein surface
(complex 2-dimensional) and n-dimensional Lagrangian submanifolds in
a Calabi-Yau manifold of complex dimension n.
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