Équations d'isomonodromie, solutions algébriques et dynamique

Doctoral thesis English OPEN
Girand , Arnaud;
  • Publisher: HAL CCSD
  • Subject: connexions logarithmiques plates | [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS] | [ MATH.MATH-DS ] Mathematics [math]/Dynamical Systems [math.DS] | feuilletages transversallement projectifs | transversaly projective foliations | convolution intermédiaire de Katz | logarithmic flat connections | Garnier Systems | [ MATH.MATH-CV ] Mathematics [math]/Complex Variables [math.CV] | [ MATH.MATH-AG ] Mathematics [math]/Algebraic Geometry [math.AG] | Isomonodromic deformations | déformations isomonodromiques | Katz's middle convolution | [MATH.MATH-CV] Mathematics [math]/Complex Variables [math.CV] | [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG] | systèmes de Garnier

We call isomonodromic deformation any family of logarithmic flat connections over a punctured sphere having the same monodromy representation up to global conjugacy. These objects are parametrised by the solutions of a particular family of partial differential equations... View more
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