Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

A new basis for Bethe vectors of the Heisenberg model.- The form factors and quantum equation of motion in the sine-Gordon model.- Instantons, Hilbert schemes and integrability.- Low-temperature behaviour of 2D lattice SU(2) spin model.- Form factor representation of the correlation functions of the two dimensional Ising model on a cylinder.- Aspects of integrable quantum field theories with boundaries.- Functional realization of some elliptic Hamiltonian structures and bosonization of the corresponding quantum algebras.- Quantized moduli spaces of the bundles on the elliptic curve and their applications.- Thermodynamic Bethe ansatz and form factors for the homogeneous sine-Gordon models.- The superintegrable chiral Potts quantum chain and generalized Chebyshev polynomials.- Dualities in integrable systems: geometrical aspects.- hyperelliptic curves.- The quantum dilogarithm and Dehn twists in quantum Teichmüller theory.- Unitary representations of the modular and two-particle q-deformed Toda chains.- The Algebraic Bethe Ansatz and the correlation functions of the Heisenberg magnet.- Dual algebras with non-linear Poisson brackets.- Sine-Gordon solitons vs. relativistic Calogero-Moser particles.- Integrable three dimensional models in wholly discrete space-time.- Elliptic beta integrals and special functions of hypergeometric type.- The 8-vertex model with a special value of the crossing parameter and the related XYZ spin chain.- Correspondence between the XXZ model in roots of unity and the one-dimensional quantum Ising chain with different boundary conditions.- List of the Workshop Participants.