报 告 人: Michael Bersudsky (首尔国立大学)

时间地点: 五教5306，6月5日 10:00-11:00

题   目: Equidistribution of polynomially bounded o-minimal curves in homogenous spaces

摘  要: I will talk about the application of o-minimal structures, a branch of model theory, combined with techniques from homogeneous dynamics, to establish uniform distribution results for a broad class of unbounded curves in general homogeneous spaces.

Specifically, I will discuss joint work with N. Shah and H. Xing in which we generalize Ratner's theorem on the equidistribution of unipotent flows. As an example, consider a curve in SL(n, R) whose entries are rational functions. Under an explicit and verifiable non-contraction condition, we show that the averages along this curve in SL(n, R)/SL(n, Z) converge to a homogeneous measure.