Thursday, April 10, 2008
Lecture 8 (Thu, Apr 10, 2008)
Geometric and global theory of linear ordinary differential equations
- Global theory of linear equations. Jet bundles, Cartan distribution. Meromorphic connexion associated with a linear equation.
- “Natural bundle” for a globally Fuchsian equation. Sum of characteristic exponents.
- Riemann–Hilbert problem for Fuchsian equations. Hypergeometric equation.
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