EVENT DETAILS AND ABSTRACT

Title: Special Lagrangian T^2-cones in C^3
Speaker: Professor Emma Carberry
Speaker Info: MIT
Brief Description:
Special Note:
Abstract:

Special Lagrangian 3-folds are of interest in mirror symmetry, and in particular play an important role in the SYZ conjecture. One wishes to understand the singularities that can develop in families of these 3-folds; the relevant local model is provided by special Lagrangian cones in complex 3-space. When the link of the cone is a torus, one can use integrable systems methods to describe it in terms of an algebraic curve, called the spectral curve. Thus there is a natural invariant $g=2n$ associated to the cone, namely the genus of its spectral curve. We show that for each n>2 there are countably many real (n-2)-dimensional families of such special Lagrangian cones. This is joint work with Ian McIntosh.