A canonical global positioning system for Calabi Yau manifolds

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• Sean Keel (University of Texas Austin)
• Wednesday 04 June 2014, 14:15-15:15
• MR 13, CMS.

If you have a question about this talk, please contact Dr. J Ross.

Gross, Hacking and I conjecture that the vector space of regular function on a smooth affine manifold with a holomorphic volume form (of the right sort) comes with a canonical basis. I’ll explain, in language accessible to a second year graduate student, the conjecture, our partial results— the proof in dimension two, and, together with Kontsevich, for cluster varieties of all dimension, and some of the many applications, to representation theory, teichmuller theory, mori theory, symplectic geometry, cluster algebras, and mirror symmetry.

This talk is part of the Algebraic Geometry Seminar series.

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