Riemann geometry and integrable systems

1. Classical integrable systems, Lax pairs, conserved quantities
2. Special solutions: solitons, breathers, elliptic solutions
3. Monodromy properties and quasi-periodic solutions
4. Riemann surfaces and algebraic curves
5. Baker-Akhiezer functions and secant identities
6. Automorpisms and Prym varieties
7. Computational approaches