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Prescribing the angle of Lagrangian graphs

Geometry/Topology

Speaker: Adam Jacob, UC Davis
Location: 2112 MSB
Start time: Tue, Jan 19 2016, 1:10PM

In this talk I will define a complex version of the special Lagrangian graph equation with potential introduced by Harvey-Lawson. I will discuss existence of solutions on a compact Kahler manifold under certain analytic assumptions. I will also talk about a conjecture relating existence in general to an algebro-geometric notion of stability, analogous to slope stability for holomorphic vector bundles. This is joint work with Tristan C. Collins and S.-T. Yau