中国科学院数学与系统科学研究院

数学研究所

中国科学院华罗庚数学重点实验室

华罗庚青年数学论坛综合报告

报告人：郭浩洋 博士 (Univeristy of Chicago)

题  目：  Riemann--Hilbert correspondence: from complex geometry to mixed characteristic geometry

时  间：2024.08.05（星期一）10:30-11:30

地  点：N818

摘  要：A celebrated observation in 20th-century complex geometry is the Riemann--Hilbert correspondence, relating representations of the fundamental group of a complex algebraic variety to algebraic differential equations. Recent advances in non-archimedean geometry have revealed analogous correspondences in the p-adic setting. In this talk, we will review the history and report on the recent progress in p-adic and mixed characteristic geometry.