【学术报告】On Ahlfors currents

• 主讲人：Song-Yan Xie
• 举办方： Beijing-Moscow Mathematics Colloquium
• 时间： 2022-01-21 17:00 - 2022-01-21 18:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/297519F065FD06FE91B6405B19FE9693
Valid Until: 2026-06-30 23:59

 

Abstract: We answer a basic question in Nevanlinna theory that Ahlfors currents associated to the same entire curve may be nonunique. Indeed, we will construct one exotic entire curve which produces infinitely many cohomologically different Ahlfors currents. Moreover, concerning Siu's decomposition, for an arbitrary positive integer k or k=infinity, some of the obtained Ahlfors currents have singular parts supported on k irreducible curves. In addition, they can have nonzero diffuse parts as well, which answers a question of Brunella. This is joint work with Dinh Tuan Huynh.

 

Bio: Song-Yan Xie got his Ph.D. from Paris-Sud (Orsay) University in 2016. In his thesis he proved an ampleness conjecture of Debarre —— the cotangent bundles of a large class of complete intersections are ample. He is currently an associate professor at the Academy of Mathematics and Systems Science. His research interest is complex geometry, especially complex hyperbolicity and Nevanlinna theory.