Speaker: Rafał Lutowski (Gdańsk)
Title: Flat Manifolds with Homogeneous Holonomy Representation
Abstract:
We show that a rational holonomy representation of any flat manifold except a torus must have at least two non-equivalent irreducible subrepresentations. As an application we show that if a Kähler flat manifold is not a torus then its holonomy representation is reducible.