Time：February 26, Wednesday, 16:00-17:00  

Title:  Estimate for Betti numbers of étale sheaves and applications

Speaker: Haoyu Hu 胡昊宇 (Nanjing University 南京大学)

Abstract: In this talk, we discuss a result on upper bounds of all Betti numbers of an étale sheaves on a smooth variety of positive characteristic. This bound only depends on the rank and the Abbes-Saito's logarithmic ramification conductor along the boundary. We will focus on the ideas of the proof. If time permits, we will discuss some applications. This is a joint work with J.-B. Teyssier.