Complete non-compact G2-manifolds from asymptotically conical Calabi-Yau 3-folds

Lorenzo Foscolo
(Heriot-Watt University)
Seminar
Onsdag, 1 november, 2017, at 16:30-17:30, in Aud. D3 (1531-215)
Abstrakt:
G2-manifolds are the Riemannian 7-manifolds with G2 holonomy and in many respects can be regarded as 7-dimensional analogues of Calabi-Yau 3-folds. In joint work with Mark Haskins and Johannes Nordström we construct infinitely many families of new complete non-compact G2 manifolds (only four such manifolds were previously known). The underlying smooth 7-manifolds are all circle bundles over asymptotically conical Calabi-Yau 3-folds. The metrics are circle-invariant and have an asymptotic geometry that is the 7-dimensional analogue of the geometry of 4-dimensional ALF hyperkähler metrics. After describing the main features of our construction I will concentrate on some illustrative examples, describing how results in Calabi-Yau geometry about isolated singularities and their resolutions can be used to produce examples of complete G2-manifolds.
Organiseret af: QGM
Kontaktperson: Cristiano Spotti