Hauptseminar Geometrie

Abstract: We define domains of discontinuity for mapping class group actions on the character variety X=Hom(F_3, SL(2,C))//SL(2,C) of the free group F_3 of rank 3. In particular, we consider F_3 as the fundamental group of the four-holed sphere S, and of the three-holed projective plane N, and consider the associated mapping class group actions on X. In the first part of the talk we describe the combinatorial view point we adopt using trace functions on simple closed curves, and in the second part we sketch the main ideas of the proof. If time remains, we will also discuss domains of discontinuity for the real character variety Hom(F_3, SL(2,R))//SL(2,R). We will also try to underline generalisations and open questions on the subject. (This is joint work with F. Palesi and S. P. Tan.)

Dienstag, den 21. Juli 2015 um 13:30 Uhr, in INF288, HS5 Dienstag, den 21. Juli 2015 at 13:30, in INF288, HS5

Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Anna Wienhard