24/11/2006, 14:00 — 15:00 — Room P3.10, Mathematics Building
António Ferreira dos Santos, Instituto Superior Técnico, U.T. Lisboa
Lax equations, factorization and Riemann-Hilbert problems
In this talk the problem of existence and calculation of solutions
to Lax equations that define finite-dimensional integrable systems
is studied. The method presented is based on Wiener-Hopf
factorization and related Riemann-Hilbert problems on Riemann
surfaces. The idea behind the method was first proposed by
Semenov-Tian-Shansky but has never been applied in a situation
where a nontrivial function factorization is required. An example
of a dynamical system associated with an elliptic curve is given.
