Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Dr. Thilo Kuessner
Universität Augsburg

spricht am
Montag, 16. Oktober 2017
16:00 Uhr
Raum 2004 (L1)
über das Thema:

»Parameters for representations of surface groups to SL(3,R) «

For a hyperbolic surface group, the variety of its representations to SL(3,R) has three components. One of them, the Hitchin component, is a 16(g-1)-dimensional ball. Bonahon-Dreyer found an explicit parametrisation of Hitchin representations by using equivariant maps to the flag manifold and associating to them certain cross-ratio like invariants of (generic) tuples of flags in the image. For non-Hitchin Anosov representations, the images in the flag manifold may yield non-generic tuples and in fact the representation variety is in general not Hausdorff. We show that there is a natural extension of the triple ratio to non-generic triples of flags taking values in a certain non-Hausdorff space (the line with 3 origins) and use it to obtain a local parametrisation of the representation variety around any irreducible Anosov representation.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).

wwwadm@Math.Uni-Augsburg.DE,    Fr 1-Sep-2017 10:57:27 MESZ