Abstract des Vortrages von Frederik Tietz
Homological stability for Hurwitz spaces of S_3-covers
Homological stability for certain Hurwitz spaces was proved by Ellenberg-Venkatesh-Westerland in 2009. In my talk, after an introduction to Hurwitz space theory, I will present approaches to generalisations of their results. My objects of interest are moduli spaces for branched covers with structure group S_3. In contrast to the EVW-setting, arbitrary monodromies around the branch points are allowed here. I will present partial results on homological stabilisation as well as possible future generalisations.