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A tropical Monge-Ampere equation with applications to the SYZ conjecture

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If you have a question about this talk, please contact Holly Krieger.

We show how to define and solve the Monge-Ampère equations on the boundary of a symmetric simplex. Through the work of Yang Li, this has ramifications for the SYZ conjecture, on the existence of special Langrangian fibrations for a degenerating family of Calabi-Yau hypersurfaces of projective space. This is joint work with J. Hultgren, E. Mazzon, and N. McCleerey

This talk is part of the Algebraic Geometry Seminar series.

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