Date/Time:17 Apr 2019 15:00Venue: S17 #05-11 SR5Speaker: Oscar Garcia-Prada, ICMAT, MadridHiggs bundles and higher Teichmüller spacesSome connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others are more alluring and unusual either because they are not detected by primary invariants, or because they have special geometric significance, or both. In this talk, I will describe examples of such special components in moduli spaces of G-Higgs bundles on closed Riemann surfaces or, equivalently, moduli spaces of surface group representations into a semisimple Lie group G. These special components are related to higher Teichmüller theory and the notion of positivity for Anosov representations recently introduced by Guichard and Wienhard.Add to calendar:
