题目：On the ramification of nearby cycles in equal characteristic

报告人：胡昊宇（南京大学）

时间：2021年12月10日，14:30-16:00

地点：腾讯会议，会议号：403 926 228

摘要：In this talk, we discuss a work on the ramification bound for the nearby cycle complex of an étale sheaf ramifications along the special fiber of a regular scheme semi-stable over an equal characteristic henselian trait, which extends a main result in a joint work with Teyssier in 2019 and answers a conjecture of Leal in a geometric situation. The main ingredient in this project is a decreasing property of highest Abbes and Saito’s ramification slopes of étale sheaves after pull-backs.