Sergei Yakovenko's blog: on Math and Teaching

Thursday, May 22, 2008

Lecture 11 (May 22, 2008)

Meromorphic flat connexions on holomorphic manifolds: Integrability, monodromy, classification

  1. Pfaffian systems and their integrability
  2. From local to global solutions: monodromy
  3. Geometric language: covariant derivative and its curvature
  4. Meromorphic functions, meromorphic forms
  5. Example: multidimensional Euler system
  6. Regular singularities
  7. Flat connexions vs. isomonodromic deformations

Recommended reading: D. Novikov & S.Y., Lectures on meromorphic flat connexions, sect. 1-2.

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