Orateur(s) | Lorenzo Foscolo - Heriot-Watt University, Edinburgh,
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Titre | ALC manifolds with exceptional holonomy |
Date | 20/11/2018 |
Horaire | 14:00 à 15:00 |
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Diffusion | |
Résume | I will describe the construction of infinitely many complete non-compact G2-manifolds from small resolutions of Calabi-Yau cones and forthcoming work on the construction of infinitely many complete non-compact Spin(7)-manifolds from self-dual Einstein 4-orbifolds. Prior to these constructions there was only a handful of known examples of complete non-compact manifolds with G2 and Spin(7) holonomy. All the examples we produce have an asymptotic geometry (so-called ALC geometry) that generalises to 7 and 8 dimensions the geometry of 4-dimensional ALF hyperkähler metrics. The examples are produced by the study of the adiabatic limit of metrics with exceptional holonomy on principal circle bundles/Seifert fibrations over asymptotically conical manifolds/orbifolds. |
Salle | 15–25.502 |
Adresse | Jussieu |