Integrable ODEs with matrix variables. Bi-Hamiltonian approach

Speaker:

Vladimir Sokolov

Affiliation:

Landau Inst. for Theor. Physics/MPI

Date:

Thu, 2012-04-05 15:00 - 16:00

Location:

MPIM Lecture Hall [2]

Parent event:

MPI-Oberseminar [3]

Joint work with V.Roubtsov and A.Odesskii.

We consider a special class of linear and quadratic Poisson brackets related to
ODE systems with matrix variables. General properties of such brackets are
investigated. A complete classification of quadratic brackets in the case of two
matrices is presented. Examples of a compatible pairs of quadratic and linear
brackets are found.