Orateur
Duc-Manh Nguyen
Description
The fundamental group of a stratum of k-differentials naturally acts on the (co)-homology of the corresponding canonical cyclic covers via monodromy. In the genus zero case, these actions give rise to a series of representations of the pure braid groups. In this talk, I will report a result on the images of those representations. Specifically, I will discuss their Zariski closure and some sufficient conditions for those images to be arithmetic lattices. This is a joint work with G. Menet.
