Vortrag: "Blowup solutions of rank 2 Singular Toda systems"

Abstract:
Toda system is a system of nonlinear elliptic partial differential equations that has deep connections with Physics, Algebraic Geometry, Lie Algebra and other disciplines of sciences as well. One of the main difficulties in the study of such systems is the blowup phenomenon: a sequence of solutions tending to infinity somewhere and a corresponding concentration of energy.  Many traditional tools (for example maximum principle) that are very useful for elliptic equations fail miserably for Toda system. In this talk I will report my recent joint work with C. S. Lin, J. C. Wei and W. Yang, on the classification of local concentration of energy, a priori estimates, etc by a new approach, which consists of tools from different fields.