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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
Abstract:
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.
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