Speaker：Zhaohu Yao(Utah State University)
Time：10:00-11:30 Nov. 22, 2021
Room：Tecent Room ID:928 943 6801，Password:444167/C1124, Material Science Research Building(Section C)
To a simple Lie algebra, there is associated a Toda system, a system of semi-linear elliptic differential equations on the plane. The classical Liouville equation is the Toda system associated to sl_2. Toda systems are related to holomorphic curves and harmonic maps from C to P^n. In this talk, we aim to classify all solutions to the Toda system for a general simple Lie algebra, with singularities at the origin. The global masses of the solutions are particularly interesting. At the end, we mention ongoing work on solutions exhibiting more general type of blowup masses. This is based on joint work with C.-S. Lin and J. Wei.
