Enriques 2n-folds and analytic torsion

Mercredi 18 septembre 14:00-17:00 - Ken-ichi Yoshikawa - Université de Kyoto

Résumé : In this talk, a compact connected Kähler manifold of even dimension
is called simple Enriques if it is not simply connected and its universal
covering is either Calabi-Yau or hyperk¥”ahler.
These manifolds were introduced and studied independently by
Boissière-Nieper-Weisskirchen-Sarti and Oguiso-Schröer.
We introduce a holomorphic torsion invariant of simple Enriques 2n-folds
and study the corresponding function on the moduli space of such manifolds.
In the talk, we report its basic properties such as the strong plurisubharmonicity
and the automorphy, as well as possible (conjectural) applications.
If time allows, we will also report the explicit formula for the invariant
as an automorphic function on the moduli space in some cases.

Lieu : Salle 3L8

Enriques 2n-folds and analytic torsion  Version PDF