Séminaire Gaston Darboux :
Le 25 mai 2007 à 11:15 - salle 431
Présentée par Wolfart Jurguen - Francfort
Quasiplatonic curves and isolated singularities of moduli spaces
Isolated singularities of the moduli space for compact Riemann surfaces of genus > 3 (in Zariski's sense) correspond to quasiplatonic curves. These can be caracterised in many different ways, e.g. by the existence of regular dessins or by normal subgroups of Fuchsian triangle groups. The talk will recall some of these caracterisations and report about joint work with J.-Chr. Schlage-Puchta about the growth of the number of these isolated singularities with large genus.