Workshop
Anosov representations from Variations of Hodge structure
- Simion Filip (University of Chicago, USA)
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.