Constructing manifolds with special holonomy by resolving orbifolds

Thu, 25/11/2010
13:00
Robert Clancy (University of Oxford) Junior Geometry and Topology Seminar Add to calendar SR1
All of Joyce's constructions of compact manifolds with special holonomy are in some sense generalisations of the Kummer construction of a K3 surface. We will begin by reviewing manifolds with special holonomy and the Kummer construction. We will then describe Joyce's constructions of compact manifolds with holonomy G_2 and Spin(7).