Dynamics on Wild Character Varieties

Emmanuel Paul ; Jean-Pierre Ramis

Symmetry, integrability and geometry: methods and applications, Tome 11 (2015)

Résumé

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 $P_{\mathrm{V}}$.

Détail

Keywords: character varieties; wild fundamental groupoid; Painlevé equations.

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