Speaker：Songyan Xie (Chinese Academy of Sicences )

Time：2021-01-06 15:00

Location：Conference Room 105 at Experiment Building at Haiyun Campus

Abstract:

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 ).