Riemannian Spaces with Special Holonomy

Harvard FAS

This course aims to provide an introduction to the modern field of special holonomy geometry. After discussing what might now be regarded as the “classical” story of holonomy, culminating in Berger’s classification theorem, we will delve into a detailed study of the special and exceptional cases in the classification. The setting for the first third of the course will be Kähler and hyperKähler geometry, with an emphasis on the use of geometric gluing techniques to construct fundamental…