Arithmetic fundamental groups of curves over local fields


报告题目：Arithmetic fundamental groups of curves over local fields

报告专家：Yu Yang(阳煜)  （京都大学数理解析研究所）

报告时间：2022年11月25日10:00~11:00

报告地点：Zoom ID：378 291 6777（w6gN0t）

报告摘要：In this talk, I would like to explain recent progress concerning the speaker’s efforts for establishing a method to treat arithmetic fundamental groups of curves over both mixed characteristic and positive characteristic local fields. In particular, I obtained a new proof of Mochizuki’s famous theorem concerning (Isom-version) Grothendieck’s anabelian conjecture for curves over sub-p-adic fields (which is the greatest achievement of anabelian geometry in characteristic 0 published by Invent. Math. 1999).

专家简介：阳煜，日本京都大学数理解析研究所助理教授。师从著名数学家望月新一教授，主要从事代数几何和算术几何研究。其在正特征基本群相关问题上独立地取得了一系列重要进展。研究成果發表在《Selecta Math.》、《Math. Z.》、《Publ. Res. Inst. Math. Sci.》等国际重要學術期刊。

邀请人：林秉辰

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