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Workshop

Anosov representations from Variations of Hodge structure

  • Simion Filip (University of Chicago, USA)
E1 05 (Leibniz-Saal)

Abstract

Variations of Hodge Structure (VHS) arise naturally in algebraic geometry when studying families of algebraic manifolds, especially when looking at moduli spaces. The associated monodromy representations encode the topology of the family and control many algebro-geometric features. I will explain some local analytic conditions on the VHS which imply that the monodromy representation is Anosov. These local conditions are satisfied for interesting families of algebraic manifolds and also give examples of Anosov representations in Sp(2g) and SO(g,g+1) (for all g>1) outside the space of Theta-positive representations.

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