Geometry Seminar: W. Su (Warwick)

Geometry Seminar (Geometric Analysis)

Speaker: Wei-Bo Su (Warwick)

Title: Infinite-time singularities in Lagrangian mean curvature flow

Abstract: In this talk, I will present a gluing construction of infinite-time singularities in Lagrangian mean curvature flow. Starting with a pair of affine special Lagrangian tori $L = L_1\cup L_2$ intersecting transversely at a single point, we construct a long-time solution to Lagrangian mean curvature flow by perturbing the time-dependent Lagrangian surgeries $L_1\# L_2$ of $L$ at the intersection point parametrized by the “neck size” $\epsilon(t)$. Notably, the evolution of the “neck size” of the approximate solution is driven by the obstruction of the special Lagrangian deformation of $L_1\# L_2$. This talk is based on a joint work with Chung-Jun Tsai and Albert Wood.