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Meeting ID: 837 0567 7495
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Abstract: We give a concrete example of an "integrable" nonlinear p.d.e. related to the 2D Toda equations, whose solutions can be parametrized by asymptotic data and also by Stokes data. The p.d.e. was first studied by the physicists Cecotti and Vafa; certain special solutions are related to Frobenius manifolds (such as quantum cohomology or unfoldings of singularities). The explicit nature of the data leads to relations with geometry and physics; we describe some of these briefly.
