中科院数学与系统科学研究院
数学研究所
中科院华罗庚数学重点实验室
综合报告会
（Colloquium）
报告人：左 康 教授（德国Mainz大学）
题 目：Higgs-de Rham flow and application in Arithmetic Geometry
时 间：07.17(星期四), 10:00--11:00
地 点：数学院南楼N913室
Abstract：
The notion Higgs-de Rham flow has been invented in a recent paper by Lan-Sheng-Zuo mainly to establish a p-adic correspondence between crystalline etale local sysyems and periodic Higgs bundles，which is a p-adic analogue of Yang-Mills-Higgs flow and has found other applications in Algebraic Geometry and Arithmitic Geometry. In a recent paper with G-T. Lan and M. Sheng we have found some non-trivial applications in the study of Hodge conjecture: An isomorphism between two irreducble Betti-local systems (Betti realization) coming from the Geometry induces an isomorphism between the corresponding crystalline-local systems (crystalline realization) over infinite many prime places.
