A non-archimedean approach to the SYZ conjecture (Attention : horaire décalé de 15 mns)

Vendredi, 2. février 2024 - 14:15 - 15:15
Orateur: 

/oratrice : Enrica Mazzon (Ratisbonne)

Résumé: 

The SYZ conjecture concerns degenerations of complex Calabi-Yau manifolds and was proposed as a geometric explanation of mirror symmetry. Kontsevich and Soibelman introduced a non-archimedean approach to this conjecture, and more recently, Yang Li's work has connected the non-archimedean approach with the original SYZ conjecture.
In this talk, I will explain the key concepts of the non-archimedean approach and present recent developments in the context of hypersurfaces. This is based on a project in collaboration with Jakob Hultgren, Mattias Jonsson and Nick McCleerey.