Abstract: In this talk we will consider the SL(2, C)–character variety X := Hom(\pi_1(S), SL(2, C)) // SL(2, C) of the four-holed sphere S, and the natural action of the mapping class group MCG(S) on it. In particular, we will describe a domain of discontinuity for the action of MCG(S) on the relative character varieties X(a,b,c,d) , which is the set of representations ρ : \pi_1(S) \rightarrow SL(2, C) for which the traces of the boundary curves are fixed. Time permitting, in the case of real characters, we'll show that this domain of discontinuity may be non-empty on the components where the relative euler class is non-maximal. (This is a joint work with F. Palesi and S. P. Tan.)
Dienstag, den 14. Mai 2013 um 13.00 Uhr, in INF 288, HS 5 Dienstag, den 14. Mai 2013 at 13.00, in INF 288, HS 5
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard