Abstract:
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 relies heavily
on the Minimal Model Program in birational geometry.
