In this talk, we will introduce the Fock-Goncharov Coordinates on the moduli space ${\mathcal{T}}_3^{+}\left(S_{g,n}\right)$ of framed convex real projective structures on a punctured surface $S(=S_{g,n})$ of negative Euler characteristic and show that it is canonically homeomorphic with ${\mathbb{R}}_{>0}^{8|\chi (S)|}$.

[FG07]     V. V. Fock and A. B. Goncharov. Moduli spaces of convex projective structures on surfaces. Adv. Math. 208(1):249-273, 2007.

[CTT20]   Alex Casella, Dominic Tate, and Stephan Tillmann. Moduli spaces of real projective structures on surfaces volume 38 of MSJ Memoirs. Mathematical Society of Japan, Tokyo, [2020] ©2020.