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胡昊宇——On the ramification of nearby cycles in equal characteristic
发布人:许全华  发布时间:2021-11-25   浏览次数:60

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17日,14:00-15:30


地点:明德楼B区201报告厅


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.