On the algebraic hull of the Kontsevich-Zorich cocycle and applications to finiteness theorems
By Alex Eskin
Also appears in collection : Dynamics and geometry in the Teichmüller space / Dynamique et géométrie dans l'espace de Teichmüller
We give a necessary and sufficient condition for the existence of infinitely many non-arithmetic Teichmuller curves in a stratum of abelian differentials. This is joint work with Simion Filip and Alex Wright.