JOINT INSTITUTE FOR NUCLEAR RESEARCH | INSTITUTE OF THEORETICAL AND EXPERIMENTAL PHYSICS |

BOGOLIUBOV LABORATORY OF THEORETICAL PHYSICS

*International School *

**SYMMETRIES AND INTEGRABLE SYSTEMS**

**Dubna, Russia, June 8 - 11, 1999**

*Sponsored by Russian Foundation of Basic Research and the UNESCO*

A.N.Sissakian (* Chairman, Dubna*)
S.Z.Pakuliak (

- 1.
- Separation of variables in classical and quantum integrable systems; dynamical symmetries and superintegrability.
- 2.
- Geometrical methods in the integrable systems theory; the relations between finite and infinite-dimensional systems.
- 3.
- Modern aspects of the integrability: quantum algebras and their
quasi-Hopf deformations, quadratic algebras,
*W*-algebras, supersymmetry in application to the modern string theories. - 4.
- Integrability of the string theories and quantum field theory.
- 5.
- Group-theoretical methods in the integrable models.

- 1.
- E.Akhmedov. "Introduction to AdS/CFT correspondence" (2 hours).
- 2.
- D.Fursaev. "Thermodynamics and statistical mechanics of black holes" (2 hours).
- 3.
- D.Lebedev. "Separation of variables in quantum periodic Toda lattice" (2 hours).
- 4.
- V.B. Priezzhev. "Analytical results in the abelian sandpile model" (1 hour).
- 5.
- P.Pyatov. "Hecke algebra: construction of Young projectors and representation theory" (2 hours).
- 6.
- K.Sarajkin. "Conformal blocks in WZW theories" (1 hour).
- 7.
- V.Spiridonov. "Solitons and Coulomb gas, semilarity reductions and special functions" (2 hours).
- 8.
- V.Ter-Antonyan. "Dyon-Oscillator duality of Schrödinger equation" (2 hours).
- 9.
- V.Tolstoy. "Combinatorial structure of root systems of Lie algebras and superalgebras" (1 hour).
- 10.
- K.Zarembo. "Solitons on branes" (1 hour).

The organizing committee of the school is planning the student seminar, where the students will be invited to give the review talks on the subjects of the modern mathematical physics.