Orateur
Dr
Clarence Kineider
(MPI Leipzig)
Description
Higher Teichmüller spaces are connected components in the space of representations from a surface group into a higher rank Lie group. The first examples of these are Hitchin components for split real Lie groups. I will give an overview of the known examples of higher Teichmüller spaces, via the notion of Theta-positivity introduced by Guichard-Wienhard to generalize Fock-Goncharov and Lusztig total positivity. I will then present how spectral networks offer a convenient set of tools to study those higher Teichmüller spaces, in particular Fock-Goncharov-like coordinate systems on them.
