The cone of Jordan variations and applications to higher rank Teichmüller theory

par Andrés Sambarino (CNRS & IMJ-PRG)

lundi 8 janv. 2024, 14:00 → 15:15 Europe/Paris

Amphithéâtre Léon Motchane (IHES)

A celebrated result by Benoist in the 90s asserts that if G is a semi-simple real-algebraic group and Γ < G is a Zariski-dense semigroup, then the smallest closed cone that contains the Jordan projections {λ(γ) : γ ∈ Γ} is convex and has non-empty interior. In this talk we will focus on analogous concepts for tangent vectors to the character variety Hom(Γ,G)/G, and if time permits we will treat some applications to higher rank Teichmüller theory.