WorkshopsTen families of linear connections, Painleve equations and monodromy data
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It is known that Painleve equations are classified into 6 types, all of which come from the equations for isomonodromy or iso-Stokes for rank 2 linear singular connections on the Riemann sphere. We will show that there exist ten families of singular linear connections on the Riemann sphere which gives 8 types of Painleve equations via isomonodromy equations. Moreover we will give explicit equations for the moduli spaces of corresponding data of monodromy, Stokes data and Links and discuss the Riemann-Hilbert problems. This is a joint work with Marius van der Put.
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Masa-Hiko Saito
2011-06-03
15:30:00 - 17:00:00
R102 , Astronomy and Mathematics Building
It is known that Painleve equations are classified into 6 types, all of which come from the equations for isomonodromy or iso-Stokes for rank 2 linear singular connections on the Riemann sphere. We will show that there exist ten families of singular linear connections on the Riemann sphere which gives 8 types of Painleve equations via isomonodromy equations. Moreover we will give explicit equations for the moduli spaces of corresponding data of monodromy, Stokes data and Links and discuss the Riemann-Hilbert problems. This is a joint work with Marius van der Put.