# Mathematical Sciences Research Institute

Home » Geometry and Analysis of Surface Group Representations: The Area of Convex Projective 2-Orbifolds

# Seminar

Geometry and Analysis of Surface Group Representations: The Area of Convex Projective 2-Orbifolds April 22, 2015 (11:00 AM PDT - 12:30 PM PDT)
Parent Program: Dynamics on Moduli Spaces of Geometric Structures MSRI: Baker Board Room
The Hilbert metric on a bounded convex set $\Omega\subset\mathbb R^2$ determines an area 2-form on $\Omega$. One of the coordinates used by Fock and Goncharov assigns to an ideal triangle $T\subset\Omega$ a shape parameter $t >0$. We obtain a lower bound for the area of $T$ in terms of $t$.