Séminaire CIRGET: «Calabi-Yau manifolds with maximal volume growth»
Conférencier: Shih-Kai Chiu (Oxford University)
Title: Calabi-Yau manifolds with maximal volume growth
Calabi-Yau manifolds with maximal volume growth are completeRicci-flat Kähler manifolds where any r-ball has volume at least r^mup to a uniform constant factor and m is the real dimension of themanifold. Bishop-Gromov volume comparison theorem implies that suchgrowth is indeed maximal. This notion generalizes the more well-knownnotion of asymptotically conical (AC) manifolds. Contrary to the ACcase, the asymptotic cones at infinity in general can havenon-isolated singularities. In this talk, I will give a (biased)survey of the recent progress on this ongoing topic.
Date / heure
- Julien Keller