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Mon, 04 Nov 2024
14:15
L4

Mean Curvature Flows of Two-Convex Lagrangians

Mao-Pei Tsui
(NTU, Taipei)
Abstract
In this talk, we show the regularity, global existence, and convergence of Lagrangian mean curvature flows in the two-convex case . The proof relies on a newly discovered monotone quantity that controls two-convexity of the graphical Lagrangian mean curvature flow. The combination of a blow up argument and a Liouville Theorem for ancient solutions of Lagrangian mean curvature flows is used to prove the convergence of the flow. This is based on a joint work with Chung-Jun Tsai and Mu-Tao Wang.
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