从局部类字段到曲线，反之亦然

Algebraic Geometry: Salt Lake City 2015 Pub Date : 2015-07-13 DOI:10.1090/PSPUM/097.2/01704

Laurent Fargues

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引用次数: 6

摘要

我们先回顾一下和j - m的合作。方丹关于p进霍奇理论的基本曲线。然后，我们解释了在[4]中得到的关于这条曲线上g束分类的结果及其与局部类场论的联系。最后，我们将提出一些可以扩展这些结果的猜想。

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From local class field to the curve and vice versa

We begin by reviewing our joint work with J.-M. Fontaine about the fundamental curve of p-adic Hodge theory. We then explain our results obtained in [4] about the classification of G-bundles on this curve and its link with local class field theory. We finish by formulating conjectures that would extend those results.

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Algebraic Geometry: Salt Lake City 2015

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