题目：Global analysis of linear and nonlinear waves

报告人：王鼎涵(Stanford University)

时间：8月4日-8月6日 每天下午2:00-4:00

地点: 五教5107

摘要：This mini-course focuses on the global aspects of linear waves, which contain asymptotic behavior of waves when they approach space-time infinities in various ways. The nonlinear behavior can thus be obtained through suitable iteration schemes. The underlying analysis tool for this is a combination of high-frequency microlocal analysis and normal operator analysis, with the former encoding regularities and the latter capturing decay via spectral methods. I will start from the scalar case, move on to the tensorial case, and, if time permits, talk about gauge issues for some geometric equations, including the Einstein equation in general relativity.