Matthias Kreck, Universität Bonn
Not very much is known about the moduli space of complex hypersurfaces in high dimensions. An important invariant is the monodromy representation of the fundamental group in the mapping class group. In joint work with Su Yang we computed the mapping class group for 3-dimensional hypersurfaces. I will describe the answer, discuss similarities with the mapping class group of Riemannian surfaces and mention some applications to the moduli space of hypersurfaces.