4 problems

Brock–Farb's conjecture. The maximal dimension of a quasi-flat in $\mathcal T$ is

Let $\text{Teich}_g$ be the Teichmüller space of closed genus $g\geq 2$ Riemann surfaces. Let $h$ be any Riemannian metric, or any Finsler metric satisfying suitable weak regularit…

Monge–Ampère origin conjecture. The family

Let $S$ be a Riemann surface of analytic finite type, and let $T(S)$ denote its Teichmüller space. Using the binary infinitesimal form of the Teichmüller metric, define the angle b…