Meromorphic flat connexions on holomorphic manifolds: Integrability, monodromy, classification
- Pfaffian systems and their integrability
- From local to global solutions: monodromy
- Geometric language: covariant derivative and its curvature
- Meromorphic functions, meromorphic forms
- Example: multidimensional Euler system
- Regular singularities
- Flat connexions vs. isomonodromic deformations
Recommended reading: D. Novikov & S.Y., Lectures on meromorphic flat connexions, sect. 1-2.
