时间：2022年12月26日（周一）10:00-11:30

Time：10:00-11:30, Monday, Dec 26, 2022

ZOOM ID：919 7097 9848

PASSCODE: 090502

主持人: 理论科学研究院 关力凡 博士

Host: Dr. Lifan Guan, Institute for Theoretical Sciences, Westlake University

主讲人: 北京大学 刘若川教授

Speaker：Prof. Ruochuan Liu, Peking University

主讲人简介：Ruochuan Liu is a Boya Distinguished Professor in mathematics of Peking University. His current research focuses on p-adic aspects of arithmetic geometry and number theory, especially p-adic Hodge theory, p-adic automophic forms and related topics. In 2017, he received the National Natural Science Fund for Distinguished Young Scholars. He was awarded the Tencent Xplorer prize in 2019 and the second prize of the National Award for Natural Sciences in 2020.

讲座主题/Title：On a p-adic analogue of Deligne's classical Riemann--Hilbert correspondence

讲座摘要/Abstract:

On any smooth algebraic variety over a p-adic local field, we construct a tensor functor from the category of de Rham p-adic étale local systems to the category of filtered algebraic vector bundles with integrable connections satisfying the Griffiths transversality. which we view as a p-adic analogue of Deligne's classical Riemann--Hilbert correspondence. The construction relies on a logarithmic version of Riemann-Hilbert correspondences for rigid varieties. Joint work with Hansheng Diao, Kai-Wen Lan and Xinwen Zhu.