Symmetry in Nonlinear Mathematical Physics - 2009

Oleg Lisovyy (Bogolyubov Institute for Theoretical Physics, Kyiv, Ukraine & Université de Tours, France)

Nonlinear Schwarz list and Painlevé VI

I will describe all finite orbits of an action of the extended modular group on conjugacy classes of SL(2,C)-triples. The result will be used to classify all algebraic solutions of the general Painlevé VI equation up to parameter equivalence.