Search

Workshop

The set of normalized variations and pressure forms on the Hitchin component

  • Andrés Sambarino (CNRS - Sorbonne Université, France)
E1 05 (Leibniz-Saal)

Abstract

Given a non-zero tangent vector $v$ to the character variety $\mathfrak X(\Gamma, G)$ of a discrete semi-group $\Gamma$ with values on a semi-simple Lie group $G$ we introduce, by analogy with Benoist's limit cone, the cone of Jordan variations and the set of normalized variations. The latter depends on the choice of a functional of the Cartan space of $G$ that is positive on Benoist's limit cone (of the base-point of $v$). We will explain results regarding convexity and non-empty interior for these sets and explain their implications on the non-degeneracy problem for pressure forms on the Hitchin component.

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