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

报告人：Haoyu Hu (Nanjing University)

时间：2025年2月26日16:00-17:00

地点：紫金港校区东7数高院一楼报告厅

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.

组织者：

Prof. Dongwen Liu (ZJU)

Prof. Yifeng Liu (IASM)

Prof. Andreas Mihatsch (ZJU)

Prof. Binyong Sun (IASM)