数论与表示论讨论班:胡昊宇 Estimate for Betti numbers of étale sheaves and applications



时间:2月26日,周三,16:00-17:00
标题: Estimate for Betti numbers of étale sheaves and applications
报告人:胡昊宇(南京大学)
摘要: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.