Lee–Zhang conjecture on length-spectrum domination by Fuchsian representations
Lee–Zhang conjecture. For any Hitchin representation ρ:Γ→PSL(n,R)\rho:\Gamma\to\operatorname{PSL}(n,\mathbb{R})ρ:Γ→PSL(n,R), there is a Fuchsian representation jjj such that