3-rd International Workshop PDMI-Florence on

Quantum Groups and Integrable Systems

dedicated to the memory of Anatoly Izergin

July 2-6, 2001

Euler International Mathematical Institute

St Petersburg                      Russia

 

 

PROGRAM

 

 

MONDAY JULY 2

 

 

10.00 - 10.25

Nikolay Bogoliubov. Quantum Dynamics of Strongly Interacting Boson Systems: Atomic Beam Splitters and Coupled Bose-Einstein Condensates.

10.25 - 10.50

Nikita Slavnov. The partition function of the six-vertex model and q-deformed integrable operators.

11.00 - 11.25

Filippo Colomo. Physical and combinatorial applications of the q-oscillator.

11.25 - 11.50

Hans-Jurgen Mikeska. Effects of ring exchange in low-dimensional spin systems.

11.50 - 12.10

Coffee break

12.10 - 12.35

Jean Michel Maillet. Correlation functions of quantum integrable models: the Heisenberg spin chain.

12.35 - 13.00

Nikolai Kitanine. Correlation functions of the higher spin Heisenberg chains.

13.00 - 15.00

Lunch

15.00 - 15.25

Valery Kapitonov. Correlation functions of XY Heisenberg magnet.

15.25 - 15.50

Petr Kulish. Twisting of quantum groups.

15.50 - 16.10

Coffee break

16.10 - 16.35

Andrei Pronko. Density correlation function of XXZ magnet at infinite anisotropy.

16.35 - 17.00

Mikhail Zvonarev. Fluctuations near the boundaries in the six-vertex model.

 


TUESDAY JULY 3

 

10.00 - 10.25

Vladimir Korepin. The six-vertex model with domain wall boundary conditions.

10.25 - 11.50

German Boos. Quantum Spin Chains and Riemann Zeta Function.

11.00 - 11.25

Arianna Montorsi. 96 integrable extended Hubbard models.

11.25 - 11.50

Andreas Osterloh. Exact results for electrons in metallic grains.

11.50 - 12.10

Coffee break

12.10 - 12.35

Francesco Bonechi. Instantons on the noncommutative 4-sphere from quantum groups.

12.35 - 13.00

Emanuele Sorace. The coisotropic subgroup structure of the standard deformation of SL(2,R).

13.00 - 15.00

Lunch

15.00 - 15.25

Vladimir Matveev. Intertwining relations between classical and quantum Fourier transform and beyond.

15.25 - 15.50

Dimitry Korotkin. Isomonodromic tau-function and determinants of Cauchy-Riemann operators.

15.50 - 16.10

Coffee break

16.10 - 16.35

Vitaly Tarasov. Duality for Knizhnik-Zamolodchikov equations.

16.45-17.15

Cyril Malyshev. Functional integration, zeta regularization, and correlators of
third components of spins in the XY Heisenberg magnet.

 

WEDNESDAY JULY 4

 

Free day (excursion)

 

THURSDAY JULY 5

 

10.00 - 10.25

Alekhandre Stolin. Non-standard Quantum Groups and Integrable Models.

10.25 - 10.50

Fedor Smirnov. Separation of variables in quantum integrable models (SL(N) case).

11.00 - 11.25

Mikhail Semenov-Tian-Shansky. To be announced

11.25 - 11.50

Irina Aref'eva. To be announced

11.50 - 12.10

Coffee break

12.10 - 12.35

Francis Edward Corrigan. Boundary bound states.

12.35 - 13.00

Andrei Pogrebkov. On quantization of the KdV equation.

13.05 - 15.00

Lunch

15.00 - 15.25

Jussi Timonen. Kinetic roughening in slow combustion of paper

15.25 - 15.50

Sergei Sergeev. Relativistic Toda chain at root of unity.

15.50 - 16.10

Coffee break

16.10 - 16.35

Sergei Derkachev. General SL(2) invariant R-matrix.

16.35-17.00

Rinat Kashaev. To be announced