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Geometric Analysis Seminar

Speaker: Ben Lambert (Technische Universitaet Darmstadt)

Title: Lagrangian Mean Curvature Flow with Boundary

Abstract: The foundational result of Lagrangian Mean Curvature Flow (LMCF) is that in Calabi–Yau manifolds, high codimensional mean curvature flow preserves the Lagrangian condition. A natural question is then to ask if this can this be generalised to manifolds with boundary. Equivalently, what is a well-defined boundary condition for LMCF? In this talk I will provide an answer to this question, and then demonstrate that the resulting flow exhibits good behaviour in two model situations, namely with boundary on the Lawlor neck and Clifford Torus respectively. No prior knowledge of geometric flows will be assumed. This work is joint with Chris Evans and Albert Wood.

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Zoom id: 912 2826 6699

Tuesday, September 28 at 2:50pm to 4:05pm

Virtual Event
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Theodora Bourni

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