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Workshop

Geometric structures associated to Anosov representations.

  • Sara Maloni (University of Virginia, USA)
E1 05 (Leibniz-Saal)

Abstract

In this talk we are considering connected components of Anosov representations from the fundamental group of a closed hyperbolic manifold N, and which contains Fuchsian representations, and their associated domains of discontinuity. We will prove that the quotient of these domains of discontinuity are always smooth fiber bundles over N. Determining the topology of the fiber is hard in general, but we are able to describe it for representations in Sp(4,C), and for the domain of discontinuity in the space of complex Lagrangians in C^4 by using the classification of smooth 4-manifolds. This is joint work with Daniele Alessandrini, Nicolas Tholozan and Anna Wienhard. Time permitting, we will also discuss current work in progress with Mazzoli and Tholozan on the description of the fiber for SL(3, C) when we embed SL(2,C) reducibly and irreducibly.

Antje Vandenberg (administrative contact)

Max Planck Institute for Mathematics in the Sciences Contact via Mail

J. Audibert, X. Flamm, K. Tsouvalas, T. Weisman (organizational contact)

Olivier Guichard

Université de Strasbourg

Fanny Kassel

Institut des Hautes Études Scientifiques

Anna Wienhard

Max Planck Institute for Mathematics in the Sciences