【学术报告】Asymptotic data and Stokes data for the tt*-Toda equations, and some relations with physics

• 主讲人：Prof. Martin Guest, Waseda University, Japan
• 时间：February 17, 2022 (17:00 Beijing time, 16:00 Novosibirsk time)
• 地点：online

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.