“Degenerations of Calabi-Yau manifolds and hybrid spaces
(Ecole Polytechnique, Paris)
Onsdag 9. maj 2018
Aud. D3 (1531-215)
A conjecture of Kontsevich and Soibelman describes the Gromov-Hausdorff limit of a maximally degenerate family of polarized Calabi-Yau manifolds in terms of non-Archimedean geometry. I will describe joint work with Mattias Jonsson, which provides weak evidence for this conjecture by describing the limit behavior of holomorphic volume forms in terms of a hybrid space, bringing together the complex geometric degeneration and the associated non-Archimedean analytic space.
Kontakt: Cristiano Spotti, Martin de Borbon & Roberta Iseppi