Special Lagrangians and Lagrangian mean curvature flow

Abstract: (joint work with Jason Lotay) Richard Thomas and Shing-Tung-Yau proposed two conjectures on the existence of special Lagrangian submanifolds and on the use of Lagrangian mean curvature flow to find them. In this talk, I will report on joint work with Jason Lotay to prove these on certain symmetric hyperKahler 4-manifolds. If time permits I may also comment on our work in progress to tackle more refined conjectures of Dominic Joyce regarding the existence of Bridgeland stability conditions on Fukaya categories and their interplay with Lagrangian mean curvature flow.

differential geometrygeneral mathematicsgeneral topologygroup theorysymplectic geometry

Audience: researchers in the topic

Workshop on Singularity Theory, Geometry and Related Topics

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