Dynamical Systems Seminar - Isometric factors of dynamical systems on locally path-connected spaces

Speaker: Nicolai Edeko (Institut für Mathematik, Universität Zürich) 

Abstract: Given a dynamical system, heuristically, a factor is simpler than the original system. But what does this mean, concretely? For example, if a dynamical system has a certain topological/algebraic structure, is it true that its factors must have a simpler topological/algebraic structure? This talk contributes to results in this vein for the special case of isometric factors: We will discuss why isometric factors for transitive homeomorphisms on compact manifolds are compact abelian Lie groups and infer some spectral-theoretic consequences.