Weekly Activities

Big Picard Theorem for jet differentials and non-archimedean Ax-Lindemann Theorem
Người báo cáo: Huỳnh Đình Tuân (Đại học Sư phạm Huế)

Thời gian: 09h00, thứ năm, ngày 13/10/2022.

Hình thức: Offline, địa điểm: Phòng 301, nhà A5.

Online: google meet link: meet.google.com/zsh-jnxc-eit

Tóm tắt: 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 talk is based on a joint work with Ruiran Sun (McGill University) and Song-Yan Xie (AMSS Beijing).

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