AbstractIn the late 1980s, Nigel Hitchin and Michael Wolf independently discovered a parametrization of the Teichmüller space of a compact surface by holomorphic quadratic differentials. In this talk, I will describe a generalization of their result. I will explain how, by replacing holomorphic differentials by meromorphic differentials, one is naturally led to consider an object called the enh...
AbstractWe give correspondences between: 1. deformation of 3-Calabi-Yau categories; 2. partialcompactification with orbifolding of moduli spaces and 3. taking sub-guotient of mapping classgroups