3:00 p.m., Friday (September 19, 2003)
Math Annex 1100
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
Refreshments will be served at 2:45 p.m. in the Faculty Lounge,
Math Annex (Room 1115).