School Colloquium (On Friday) ——From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory-At the interface of geometry, analysis and theoretical physics
主 题: School Colloquium (On Friday) ——From harmonic maps to the nonlinear supersymmetric sigma model of quantum field theory-At the interface of geometry, analysis and theoretical physics
报告人: Prof. Zhu Miaomiao (Shanghai Jiao Tong University)
时 间: 2018-04-27 15:00-16:00
地 点: Room 1114, Sciences Building No. 1
Abstract: The theory of harmonic maps from Riemann surfaces is one of the most classical and important variational problems arising from geometry (minimal surfaces in Riemannian manifolds, pseudo-holomorphic curves in symplectic manifolds etc.) and theoretical physics (nonlinear sigma model from quantum field theory etc.). In this talk, we shall explore the extent to which the classical methods of nonlinear geometric analysis developed for the study of harmonic maps can be generalized to PDEs of more general type occurring in geometry and theoretical physics, with particular focus on issues of compactness, regularity and existence.