Gaudin Model and Opers.- Integrable Models with Unstable Particles.- Quantum Reduction in the Twisted Case.- Representation Theory and Quantum Integrability.- Connecting Lattice and Relativistic Models via Conformal Field Theory.- Elliptic Spectral Parameter and Infinite-Dimensional Grassmann Variety.- Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II.- Weil-Petersson Geometry of the Universal Teichmüller Space.- Duality for Knizhinik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals.