Time：10:00-11:30, Monday, Dec 26, 2022
ZOOM ID: 919 7097 9848
PASSCODE: 090502
Host: Dr. Lifan Guan, Institute for Theoretical Sciences, Westlake University
Speaker：Prof. Ruochuan Liu, Peking University
Biography: 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.
Title：On a p-adic analogue of Deligne's classical Riemann--Hilbert correspondence
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.
