Harder-Narasimhan filtration: an approach of slope inequalities
发布人: 曹思圆   发布时间: 2019-05-30   浏览次数: 97


报告人:陈华一 教授(Universite Paris Diderot - Paris 7)

报告时间:2019年6月6日15:00-16:00

报告地点:数学楼402

主持人: 张通


摘要:Harder-Narasimhan filtration is a classic construction in the geometry of vector bundles over curves. In arithmetic geometry, this notion has an analogue in the setting of Euclidean lattices. However, in many situations of arithmetic geometry, lattices in non-Euclidean normed spaces are more intrinsic objects, on which the arithmetic analogue of Harder-Narasimhan theory does not work well. In this talk, I will explain a new approach to this problem, based on slope inequalities. This is a joint work with Atsushi Moriwaki.