Title：On the ramification of nearby cycles in equal characteristic
Speaker：Haoyu Hu（Nanjing University）
Time：14:30-16:30, December10
Location：Tecent Meeting, Tecent Meeting ID: 403 926 228
Abstract：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.
