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2007 - 2008
The IISc Mathematics Initiative (IMI),
Indian Institute of Science, Bangalore will be organizing
a workshop on Integrable Systems from February 18 - 29, 2008.
This workshop will start with the basics of classical integrable systems.
The topics to be covered include : Finite dimensional integrable
systems, Hirota’s bilinear method and its connection with integrability, ultra discrete
systems, poisson manifolds, geometrical and Lie theoretical aspects of integrable systems,
ordinary integrable systems, super symmetric integrable systems and non commutative
integrable systems, AKS-Principle and Integrability and
plans to apply to nonlinear PDEs, integrability and linearizability of finite degrees of freedom nonlinear systems,
NEVANLINNA theory and integrable discrete systems, symmetries, hamiltonian structures and
integrability: continuous and discrete systems, non local symmetries for nonlinear
differential and lattice evolution equations,
Quasi-integrable systems and solvable SUSY quantum
mechanics, Quantum integrability , quantum algebra and
Algebraic Bethe ansatz, Calogero and other long-range
interacting models and their symmetries, Special overview of
' 1D quantum spin models' as An application of quantum
solvable systems.
There would also be some introduction of Yangian quantum
group (from physicist's point of view) and discussion on how
such quantum group symmetry arises in models like Calogero-Sutherland
model, Haldane-Shastry spin chain and influences the spectra
of such models.
There would be about 30 outstation participants (including initial
graduate students, young and interested faculty, scientists and
industry participants).
A maximum of 10 seats will be
reserved for scientists from organizations, which finance
the theme programme.
Students and faculty from IISc who desire
to participate in the theme programme will need to register.
Note: This web page will be modified
continuously with updated information on paper submission
and status, session themes, registration status and other
details. So, please keep checking.
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