Sergei DUZHIN

``Vassiliev invariants and combinatorial structures''

This course is dedicated to the theory of Vassiliev (finite type) knot 
invariants and primarily to various combinatorial structures invented
in the recent years for the study of these invariants.

The program includes:

1. Definition of Vassiliev invariants.
2. Hopf algebras.
3. Algebra of chord diagrams.
4. Graph algebra of Lando.
5. Kontsevich integral.
6. Algebra of Feynman diagrams.
7. Algebra of Chinese characters.
8. Algebra of 3-graphs.
9. Vogel's algebra Lambda.
10. Upper and lower bounds for the number of Vassiliev invariants.
11. Gauss diagram formulas for Vassiliev invariants.