吴文俊数学重点实验室动力系统系列讲座之二十八【E. H. El Abdalaoui】 
 
题目：Introduction to the dynamics of the Mobius function and related topics

报告人：E. H. El Abdalaoui 
Deaprtment of Mathematics, University of Rouen, France

时间：2014年3月11日（周二）和13日（周四）下午3: 00―5: 00
 
地点：数学学院管理科学楼1518

摘要: 

Sarnak has recently initiated the study of the Mobius function and its square, the characteristic function of square-free integers, from a dynamical point of view, introducing the Mobius flow and the square-free flow as the action of the shift map on the respective subsh ts generated by these functions.

Furthermore, he state a conjecture on the orthogonality of the Mobius function and the topological dynamical
flow with zero topological entropy.

In these lectures, following a dynamical point view, I will present a basic facts on the Mobius function and the connection to the prime number theorem, the Dirichlet theorem, the Riemann zeta function and a classical results of Vinogradov.

I will further discuss from the topological dynamical point view, some results on the square-free flow and its generalization to B-free umbers in connection with Erdos conjecture and the heredity shifts.

I will also review some recent results on Sarnak conjecture. These lectures are essentially based on my recent joint work with Mariusz Lema nzyk-Stanis law Kasjan, Thierry de la Rue and Joanna Ku laga-Przymus (4 papers).

欢迎各位师生积极参加！