报告题目：Solving the Einstein constraint equation in vacuum for general free data

报告人：陈炫涛， 法国国家科学研究中心/索邦大学

时间：2026年7月3日 15:00-16:00

地点：五教5107

报告摘要：We revisit the problem of solving the Einstein constraint equations in vacuum by a new method, which allows us to prescribe four scalar quantities, representing the full dynamical degrees of freedom of the constraint system. We show that once appropriate gauge conditions have been chosen and four scalars freely specified (modulo modes), we can rewrite the constraint equations as a well-posed system of coupled transport and elliptic equations on two-spheres, which we solve by an iteration procedure. This is joint work with S. Klainerman.

个人简介: 陈炫涛，现为法国CNRS和索邦大学博士后，2019年本科毕业于西安交通大学，2025年博士毕业于美国约翰霍普金斯大学，研究方向为广义相对论中的偏微分方程，主要成果发表在Duke Math. J., CMP等重要期刊。