Dynamics on Wild Character Varieties

Abstract

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 Painlevé differential equations $P_{\mathrm{VI}}$ and $P_{\mathrm{V}}$.

Cited by in corpus (5)

• Painlevé monodromy manifolds, decorated character varieties and cluster algebras
• Rigidity and flexibility of group actions on the circle
• Classification of algebraic solutions of irregular Garnier systems
• Meromorphic Projective Structures, Opers and Monodromy
• Moduli Spaces for the Fifth Painlevé Equation