About the workshop
This one-day workshop aims to strengthen interactions between researchers at National Cheng Kung University and other institutions working in complex geometry, hyperbolicity, and related areas of algebraic and arithmetic geometry. The program will feature recent developments on hyperbolic properties of complex varieties, Nevanlinna theory, entire curves, and related Diophantine problems, with emphasis on interactions between complex and arithmetic geometry.
Date and Location
Date: June 4, 2026
Venue: National Cheng Kung University
Schedule
09:00 - 09:50 Junjiro Noguchi (Univ. of Tokyo)
10:00 - 10:50 Songyan Xie (CAS)
11:10 - 12:00 Yunling Chen (CAS)
14:00 - 14:50 Julie Tzu-Yueh Wang (AS)
Title & Abstract
Title: On Green-Griffiths-Lang Conjecture and Wronskian curvature
Speaker: Junjiro Noguchi (Graduate School of Math. Sciences, Univ. Of Tokyo)
Abstract:
Title: Generating all Ahlfors currents by a single entire curve and the weak Oka-1 problem
Speaker: Song-Yan Xie (Academy of Mathematics and Systems Science, AMSS)
Abstract:
Title: A vanishing theorem for holomorphic tensor fields on log surfaces.
Speaker: Yunling Chen (Academy of Mathematics and Systems Science, AMSS)
Abstract:
Title: A new aspect of hyperbolicity with non-empty intersections
Speaker: Julie Tsu-Yueh Wang (Academia Sinica, Institute of Math.)
Abstract:
In this talk, we investigate hyperbolicity properties of quasi-projective varieties whose boundary divisors consist of n+1 numerically parallel effective divisors on a complex projective variety of dimension n, allowing non-empty intersections. The main ingredient is a Nevanlinna second main theorem for regular sequences of closed subschemes, which extends earlier work of Huang, Levin, and Xiao from surfaces to higher-dimensional varieties. If time permits, we will also discuss arithmetic analogues and related applications. This is joint work with Zheng Xiao.
Organizers
Jungkai Chen (NTU), Steven Lu (UQAM/NTU), Julie Wang (AS)
Sponsors: