The HADES seminar on Tuesday, **October 19th**, will be given by **Zhongkai Tao** at **5 pm** in **740 Evans**.

**Speaker**: Zhongkai Tao

**Abstract**: The Schrodinger equation describes the motion of a particle on a manifold. It is quite nice that the distribution of the particle is closely related to classical dynamics. I will introduce the observability estimate, the control result and describe how they are related to classical dynamics. At the end, I will talk about my attempt to make the estimates quantitative. No prerequisite in microlocal analysis is needed. This work comes from my undergraduate research mentored by Semyon Dyatlov.