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In this talk, we will first introduce the Lagrangian mean curvature flow in \mathbb{C}^n. Then, we will show the global existence and convergence of Lagrangian mean curvature flows in the two-convex case. The proof relies on a new monotone quantity that controls the two-convexity of the graphical Lagrangian mean curvature flow. This is based on a joint work with Mao-Pei Tsui and Mu-Tao Wang.

More information: https://homepage.ntu.edu.tw/~cjtsai/index.html