| Orateur(s) | Hans-Joachim Hein - University of Munster,
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| Titre | Kähler-Einstein metrics on complex hyperbolic cusps and degenerations of surfaces of general type |
| Date | 15/02/2022 |
| Horaire | 14:00 à 15:00 |
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| Diffusion | |
| Résume | A complex hyperbolic cusp is an end of a finite-volume quotient of complex hyperbolic space. Up to a finite cover, any such cusp can be realized as the punctured unit disk bundle of a negative line bundle over an abelian variety. The Dirichlet problem for complete Kähler-Einstein metrics on this space with boundary data prescribed on the unit circle bundle is well-posed. We determine the precise asymptotics of its solutions towards the zero section. I will also explain an application to the geometry of degenerating Kähler-Einstein metrics on surfaces of general type via gluing. This is joint work with Xin Fu and Xumin Jiang. |
| Salle | 15–25.502 |
| Adresse | Jussieu |
