中央研究院數學研究所

第33屆新科院士王慕道教授演講

2024/06/27 (Thu.) 10:00~11:00

日期 : 2024/06/27 (Thu.) 10:00~11:00
地點 : 台大天文數學館2樓 202教室
主講人 : 王慕道 (Columbia University)
講題 : 相對論中的數學 The mathematical theory of general relativity
演講摘要 : In 1915, when Einstein revealed the gravitational nature of spacetime, a new language was needed to express this groundbreaking concept. Remarkably, the necessary mathematics had already been developed 50 years prior by Riemann. In terms of Riemannian geometry, spacetime could be described as a Lorentzian manifold satisfying the now-famous Einstein equation. It was later discovered that the evolution of spacetime itself could be formulated as an initial value problem of a nonlinear system of hyperbolic partial differential equations. This is the foundation of what we now call the mathematical theory of general relativity, placing it squarely at the crossroads of differential geometry and partial differential equations. Today, this field remains vibrant and dynamic, with recent discoveries and renewed interest constantly pushing the boundaries of our understanding.