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Universität Augsburg
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Universität Augsburg
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Dr. Thilo Kuessner
Universität Augsburg
spricht am
Montag, 16. Oktober 2017
um
16:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| Abstract: |
| 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).