Abstract

We look at Lagrangian mean curvature flow in the complex projective plane, studying in detail an equivariant example. We see two topologically distinct types of Lagrangian tori, with the flow jumping from one to the other by way of surgery at singularities before converging to a minimal torus in infinite time. Along the way, we look at lots of interesting ideas which hopefully should have much wider application in Lagrangian mean curvature flow, particularly in positively curved spaces.

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