AbstractLagrangian mean curvature flow (LMCF) is a canonical way to deform Lagrangian submanifoldsin CalabiYau manifolds, with the goal of finding special Lagrangians, which are volume-minimizerswithin their homology classes. Despite its significance, the general long-time behavior of LMCFremains open. In this talk, l will present recent joint work with Chung-Jun Tsai and Albert Woodwhere we co...
AbstractIn this lecture, we wil study contractible 3-manifolds and its relationship with positive scalarcurvature. For example, Whitehead manifold is a contractible 3-manifold, but not homomorphic to3-dimensional Euclidean space. We will give a proof that Whitehead manifold does not have a acomplete metric with positive scalar curvature.Lecture 1: We will focus on the construction of contractib...
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