“Degenerations of Calabi-Yau manifolds and hybrid spaces

Sebastien Boucksom
(Ecole Polytechnique, Paris)
Seminar
Wednesday, 9 May, 2018, at 16:15-17:15, in Aud. D3 (1531-215)
Abstract:
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.
Organised by: QGM
Contact person: Cristiano Spotti, Martin de Borbon & Roberta Iseppi