题目：Frobenius, Hodge filtrations, and p-adic monodromy

报告人：陈陌青，斯特拉斯堡大学（Université de Strasbourg）

时间：12月17日（星期三）16: 00-17: 00

地点：东区第五教学楼5506教室

摘要：

Galois representations arising from geometric objects carry rich arithmetic and geometric information. When the base field is a p-adic local field of mixed characteristic, the p-adic étale cohomology of an algebraic variety with good reduction gives rise to crystalline representations. Such representations are governed by two fundamental structures: a crystalline Frobenius and a Hodge filtration.

In this talk, we focus on a family of abelian surfaces with a fixed supersingular Frobenius and investigate how the Hodge filtration varies. This leads to a coarse moduli space of the associated Galois representations. On this moduli space, we obtain a generic result describing the distribution of p-adic monodromy groups.

报告人简介：陈陌青，斯特拉斯堡大学（Université de Strasbourg）博士生二年级，中法数学英才班2019级/2023届学生。