**The Riemann-Hilbert problem**

**by Prof. Boris Dubrovin**

1. Structure of a fundamental system of solutions of a system of linear
differential equations near a regular singularity.

2. Fuchsian systems and Fuchsian differential equations.

3. Monodromy of hypergeometric equation.

4. Riemann - Hilbert problem and holomorphic vector bundles on the Riemann
sphere