几何与拓扑论讨论班:陶中恺 Recent advances on the fractal uncertainty principle

 


地点:数学高等研究院报告厅


时间:8月5日,16:00 - 17:00


报告人:陶中恺 Zhongkai Tao(加利福尼亚大学伯克利分校)


摘要:  The fractal uncertainty principle (FUP) is a statement in harmonic analysis that has been very useful in the study of geometric spectral problems, including spectral gaps and quantum chaos. I will give an overview of some recent studies of the fractal uncertainty principle and explain how Hormander’s L^2 estimate plays an important role in the recent breakthrough of Alex Cohen on a higher dimensional version of FUP.