Veech groups of finite abelian covers of the Chamanara surface

by Gabriela Weitze-Schmithüsen

Friday Mar 7, 2025, 10:30 AM → 11:30 AM Europe/Paris

The Chamanara surface $X$ is an especially interesting translation surface. It has finite area but infinite genus and a wild singularity and its Veech group $\Gamma(X)$ is almost the free group in two generators. The Veech group of any cover of $X$ is contained in $\Gamma(X)$. We classify the finite abelian covers whose Veech group is of finite index in $\Gamma(X)$. This is joint work with Mauro Artigiani, Anja Randecker, Chandrika Sadanand and Ferrán Valdez.