Dynamics on Wild Character Varieties

Emmanuel Paul, Jean-Pierre Ramis
2015 Symmetry, Integrability and Geometry: Methods and Applications  
In the present paper, we will first present briefly a general research program about the study of the "natural dynamics" on character varieties and wild character varieties. Afterwards, we will illustrate this program in the context of the Painlev\'e differential equations $P_{\rm VI}$ and $P_{\rm V}$.
doi:10.3842/sigma.2015.068 fatcat:thxpcaoxazctxeoplbb6ovfixm