Finite time singularities for Lagrangian mean curvature flow

Finite time singularities for Lagrangian mean curvature flow

Tue, 19/10/2010
15:45 		Andre Neves (Imperial) Algebraic and Symplectic Geometry Seminar Add to calendar L3
Finite time singularities for Lagrangian mean curvature flow
I will show that given smooth embedded Lagrangian L in a Calabi-Yau, one can find a perturbation of L which lies in the same hamiltonian isotopy class and such that the correspondent solution to mean curvature flow develops a finite time singularity. This shows in particular that a simplified version of the Thomas-Yau conjecture does not hold.