Mark Haskins, Imperial College, London

Special Lagrangian Cones

We give an introduction to special Lagrangian geometry explaining why singular special Lagrangian n-folds are important. The rest of the talk will concentrate on describing recent progress understanding the simplest singular special Lagrangian n-folds: cones with isolated singularities. We will describe recent work with Kapouleas constructing a plethora of special Lagrangian cones by gluing methods, i.e. a rigorous geometric version of singular perturbation theory.

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