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
学术报告
报告人: 许大昕(California Institute of Technology)
题 目:Parallel Transport and P-adic Simpson Correspondence
时 间:2019.07.25(星期四),10:00-11:00
地 点:数学院南楼N224室
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.