Geometry & Topology Seminar

Jason Lotay, University of Oxford

"Lagrangian mean curvature flow and the Gibbons-Hawking ansatz"

Lagrangian mean curvature flow is a potentially powerful tool with links to symplectic topology, Riemannian and complex geometry, and theoretical physics.  A key open problem in the field is the Thomas-Yau conjecture, which gives a putative criterion for long-time existence and convergence of the flow.  I will discuss a recent proof of a version of the Thomas-Yau conjecture for a family of 4-dimensional manifolds, which are gravitational instantons given by the Gibbons-Hawking ansatz.  This is joint work with Goncalo Oliveira.

Zoom meeting link: https://zoom.us/j/94769041739