华罗庚青年数学论坛

华罗庚青年数学论坛:Parallel Transport and P-adic  Simpson Correspondence

发布时间:2019-07-09

中科院数学与系统科学研究院

数学研究所

华罗庚数学重点实验室

华罗庚青年数学论坛

综合报告

告人许大昕California Institute of Technology

Parallel Transport and P-adic Simpson Correspondence

2019.07.23(星期二),10:00-11:00

点:数学院南楼N224

Abstract : Deninger and Werner developed an analogue for p-adic curves of the classical correspondence of Narasimhan and Seshadri. Using parallel transport, they associated functorially to every vector bundle on a p-adic curve whose reduction is strongly semi-stable of degree 0 a p-adic representation of the étale fundamental group of the curve. We will explain how to use fundamental results in p-adic Hodge theory to understand their construction in the context of p-adic Simpson correspondence developed by Faltings.


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