Séminaires : Séminaire de Géométrie Tropicale

Equipe(s) : aa,
Responsables :Penka Georgieva, Ilia Itenberg.
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Orateur(s) Tony Yue Yu - IMJ,
Titre The non-archimedean SYZ fibration
Horaire14:45 à 15:45
RésumeWe construct non-archimedean SYZ fibrations for maximally degenerate Calabi-Yau varieties, and we show that they are affinoid torus fibrations away from a codimension two subset of the base. This confirms a prediction by Kontsevich and Soibelman. We also give an explicit description of the induced integral affine structure on the base of the SYZ fibration. Our main technical tool is a study of the structure of minimal dlt-models along one-dimensional strata. This is joint work with Nicaise and Xu. Before explaining our results, I will introduce the background on mirror symmetry and the SYZ fibration in symplectic geometry.