Weak SYZ conjecture for hypersurfaces in the Fermat family

Mercredi 10 juin 16:00-18:00 - Yang Li - IAS (Princeton)

Résumé : The SYZ conjecture predicts that for polarised Calabi-Yau
manifolds undergoing the large complex structure limit, there should be
a special Lagrangian torus fibration. A weak version asks if this
fibration can be found in the generic region. I will discuss my recent
work proving this weak SYZ conjecture for the degenerating hypersurfaces
in the Fermat family. Although these examples are quite special, this is
the first construction of generic SYZ fibrations that works uniformly in
all complex dimensions.

Lieu : Demander le lien zoom à jean-michel.bismut@u-psud.fr

Weak SYZ conjecture for hypersurfaces in the Fermat family  Version PDF