3:00 p.m., Friday (September 19, 2003)

Math Annex 1100

Jingyi Chen

Recent progress of mean curvature flow in higher codimension

Mean curvature flow is the gradient flow of the volume functional of submanifolds 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 of 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 Lagrangian submanifolds in a Calabi-Yau manifold.

Refreshments will be served at 2:45 p.m. in the Faculty Lounge, Math Annex (Room 1115).

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