Big Picard extension theorem for jet differentials and non-archimedean Ax-Lindemann theorem
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：谢松晏
：2021-01-06 15:00
：厦大海韵园实验楼105报告厅
报告人：谢松晏（中科院数学所）
时 间：1月6日15:00
地 点：厦大海韵园实验楼105报告厅
内容摘要:
By implementing jet differential techniques in non-archimedean geometry, we obtain a big Picard type extension theorem, which generalizes a previous result of Cherry and Ru. As applications, we establish two hyperbolicity-related results. Firstly, we prove a non-archimedean Ax-Lindemann theorem for totally degenerate abelian varieties. Secondly, we show the pseudo-Borel hyperbolicity for subvarieties of general type in abelian varieties. This is a joint work with Dinh Tuan Huynh and Ruiran Sun ( https://arxiv.org/abs/2012.12656 ).
个人简介：
谢松晏，中科院数学所副研究员。本科毕业于清华大学，博士毕业于巴黎十一大。研究方向为小林双曲，值分布理论，以及代数几何中的正性。彻底解决了Debarre丰沛性猜测，即一大类完全相交的代数簇具有丰沛的余切丛，相关论文发表于Invent. Math.。
联系人：邱春晖
