Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Lagrangian Mean Curvature Flow

Yng-Ing Lee

created by tardini on 09 May 2017

15 may 2017 -- 14:00

Aula Mancini SNS

Abstract.

Mean Curvature Flow is a very canonical way to deform submanifolds to minimal submanifolds and it improves the geometry of submanifolds along the flow. If the initial submanifold is a Lagrangian submanifold in a Kahler-Einstein manifold, then mean curvature flow will preserve the Lagrangian condition whenever the solution is smooth. It is thus called Lagrangian mean curvature flow and is a potential method to construct special Lagrangians that play an important role in string theory. In this talk, I will introduce Mean Curvature flow and Lagrangian Mean Curvature Flow, discuss related results and difficulties, and report some of our progress in this direction.

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