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Families of singular connections and the Painlev equations

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  • Uservan der Put, M (Groningen)
  • ClockWednesday 13 May 2009, 11:00-12:00
  • HouseSatellite.

If you have a question about this talk, please contact Mustapha Amrani.

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The theme of this talk is a systematic construction of the ten isomonodromic families of connections of rank two on the projective line inducing Painlev equations and some families of connections living above elliptic curves. These are obtained by considering the complex analytic Riemann—Hilbert morphism from a moduli space of connections to a categorical moduli space of analytic data (i.e., ordinary monodromy, Stokes matrices and links), here called the monodromy space. Our method extends the work of Jimbo, Miwa and Ueno.

This talk is part of the Isaac Newton Institute Seminar Series series.

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