Zorich conjecture for hyperelliptic Rauzy-Veech groups
  We describe the structure of hyperelliptic Rauzy diagrams and hyperelliptic Rauzy-Veech groups. In particular, this provides a solution of the hyperelliptic cases of a conjecture of Zorich on the Zariski closure of Rauzy-Veech groups. 
Artur Avila, Carlos Matheus and Jean-Christophe Yoccoz
math.DS