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)