Speaker：Lifan Guan（Westlake University）

Time：2022-06-09, 16:00

Location：Tencent Meeting ID：325-358-209（No Password）

Abstract:

The subject of homogeneous dynamics focuses on the study of dynamical properties of subgroups acting on homogeneous spaces of Lie groups. As such, homogeneous dynamics is closely related to many different areas in mathematics. In particular, some interesting problems in number theory can be reformulated and studied through the dynamics on  SL(n, R)/SL(n ,Z).  In this talk, we will take a tour of no-dense orbits on SL(n, R)/SL(n ,Z) and related problems in number theory. We will first explain the relationship and then show how it is used to solve interesting problems in number theory. Finally, we will discuss some recent developments.