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

摘  要：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.