A projective structure P on a surface M is an equivalence class of affine torsion-free connections on M where two connections are called projectively equivalent if they share the same geodesics up to parametrisation. An oriented projective surface (M,P) defines a complex surface Z together with a projection to M whose fibres are holomorphically embedded disks. Moreover, a conformal connection in the projective equivalence class corresponds to a section whose image is a holomorphic curve in Z. Findig a section of Z->M whose image is "as close as possible" to a holomorphic curve turns out to be related to the parametrisation of the SL(3,R)-Hitchin component in terms of holomorphic cubic differentials.
Donnerstag, den 12. November 2015 um 12:00 Uhr, in INF288, HS5 Donnerstag, den 12. November 2015 at 12:00, in INF288, HS5
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Professor Anna Wienhard