Sergei Yakovenko's blog: on Math and Teaching

Thursday, April 10, 2008

Lecture 8 (Thu, Apr 10, 2008)

Geometric and global theory of linear ordinary differential equations

  1. Global theory of linear equations. Jet bundles, Cartan distribution. Meromorphic connexion associated with a linear equation.
  2. “Natural bundle” for a globally Fuchsian equation. Sum of characteristic exponents.
  3. Riemann–Hilbert problem for Fuchsian equations. Hypergeometric equation.

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