The Calogero-Moser integrable system and bi-hamiltonian geometry --
Claudio Bartocci (University of Genoa & Italian Academy of Columbia University), March 11, 2011

<p>
                                                                                            We
											    shall
											    show
											    that
											    the
											    bi-Hamiltonian
											    structure
											    of
											    the
											    rational
											    n-particle
											    (attractive)
											    Calogero-
											    Moser
											    system
											    can
											    be
											    obtained
											    by
											    means
											    of
											    a
											    double
											    projection
											    from
											    a
											    very
											    simple
											    Poisson
											    pair
											    on
											    the
											    cotangent
											    bundle
											    of
											    gl(n,R).
											    The
											    relation
											    with
											    the
											    Lax
											    formalism
											    will
											    be
											    also
											    discussed.