Speaker: Rafał Lutowski (Gdańsk)
Title: Flat Manifolds with Holonomy Representation of Quaternionic Type
Abstract:
We are interested in the question of the existence of flat manifolds for which all \(\mathbb R\)-irreducible components of the holonomy representation are either absolutely irreducible, of complex or of quaternionic type. In the first two cases such examples are well known. We will construct a flat manifold which fits into the third case and give some restrictions on holonomy groups of those kind of manifolds.
Joint work with G. Hiss and A. Szczepański.