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Carlos Ochoa Flores (University of Oxford) – Longtime existence of the Lagrangian mean curvature flow in the curvature concentration region of the Kummer K3 surface

Category
Geometry and Analysis
Date
@ Roger Stevens Lecture Theatre 11
Date
@ Roger Stevens Lecture Theatre 11, 15:00
Location
Roger Stevens Lecture Theatre 11
Speaker
Carlos Ochoa Flores
Affiliation
University of Oxford

In this talk, I will describe a strategy to obtain longtime existence results for a special type of the Lagrangian mean curvature flows (LMCF) in the Kummer K3 surface.  The argument relies on the fact that certain regions of the Kummer K3 surface are modelled on the Eguchi-Hanson space.  This allows us to use a fixed point argument to deform known solutions in the Eguchi-Hanson space into new solutions in the Kummer K3 surface.