Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) :
Responsables :O. Biquard, A. Deruelle, I. Itenberg, X. Ma
Email des responsables : {olivier.biquard, alix.deruelle, ilia.itenberg, xiaonan.ma}@imj-prg.fr
Salle : 15–25.502
Adresse :Jussieu

Orateur(s) Lorenzo Foscolo - Heriot-Watt University, Edinburgh,
Titre ALC manifolds with exceptional holonomy
Horaire14:00 à 15:00
RésumeI 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.