Veranstaltung

Vortrag
Lorentzian manifolds with special holonomy
Prof. Dr. Helga Baum (HU Berlin)
26.4.2016, 15:30 Uhr – 16:30 Uhr
IRIS-Haus 2.07, HU Berlin

Holonomy groups of Riemannian manifolds are well known. Besides the isotropy representation of irreducible Riemannian symmetric spaces, the well-known Berger list describes all connected irreducible proper subgroups of O(n) which can appear as holonomy group of a Riemannian manifold, namely U(n/2), SU(n/2), Sp(n/4), Sp(n/4) · Sp(1), G2 and Spin(7). Any of this special holonomy groups is related to a rich, interesting and widely studied Riemannian geometry.
The classification of Lorentzian holonomy groups was a long-time open prob- lem. In this talk I will review the classification of these groups, obtained between 1993 and 2005 by L. Berard-Bergery and A. Ikemakhen, T. Leistner, A. Galaev. Moreover, I will describe properties, examples and constructions of Lorentzian manifolds with special holonomy.