The non-archimedean SYZ fibration

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• Johannes Nicaise, Imperial College
• Wednesday 23 January 2019, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Mark Gross.

This talk is based on joint work with Chenyang Xu and Tony Yue Yu. I will explain the construction of the non-archimedean Strominger-Yau-Zaslow fibration, whose existence was conjectured by Kontsevich and Soibelman in their non-archimedean approach to Mirror Symmetry. I will also explain why it is an affinoid torus fibration away from a codimension two subset of the base, as predicted by Kontsevich and Soibelman. The proof heavily relies on the Minimal Model Program in birational geometry.

This talk is part of the Algebraic Geometry Seminar series.

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