MASTERCLASS A SURVEY OF ISOMONODROMIC DEFORMATIONS
29 June-08 July 2015
With this master-class, we plan to introduce Phd students and young researchers to the theory of isomonodromic deformations via the recently introduced concept of parameterized differential Galois group, and its generalization to the non-linear setting (isoholonomic deformations) in the framework of the Galois pseudogroup of a foliation and the Mattei unfoldings theory.
We are going to study such iso-Galoisian deformations, with a special focus on the first non-trivial examples of such deformations, i.e. the Painlevé differential and difference equations.
There will be three courses:
- From basic facts to linear isomonodromy, Charlotte Hardouin and Viktoria Heu
- On local classification of q-difference equations: towards discrete isomonodromy, Jacques Sauloy
- Non-linear isomonodromy, Guy Casale, Yohann Genzmer and Loïc Teyssier.
For further information, please visit ANR Project Iso-Galois