Vladimir Fock will give the Colloque de Mathématiques at UNIGE
Thursday, November 20, 2014, 16:15, room Villa Battelle
Flag configurations and integrable systems
Abstract: The space of configurations of n-tuples of complete flags in a finite-dimensional vector space admit a simple parameterisation and serve as a building block for constructing canonical (cluster) coordinates of such manifolds as character varieties, simple Lie groupes and many others. We will show that a generalisation of this construction for flags in infinite dimensions, but invariant with respect to two commuting linear maps allows to describe the space of pairs (planar algebraic curve, a line bundle on it) which is the phase space of many known (and unknown) integrable systems and allow to simplify the study of their properties.
