The geometric Bombieri-Lang conjecture for varieties of maximal Albanese dimension

• 主讲人：Junyi Xie (Beijing International Center for Mathematical Research)
• 举办方： Beijing-Moscow Mathematics Colloquium
• 时间： 2023-04-21 16:00 - 2023-04-21 17:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/1D4C3B7471B2508408D7267536758314
Valid Until: 2026-05-31 23:59

 

Abstract: This is a joint work with Xinyi Yuan. Let K=k(B) the function field a variety B over a field k of characteristic 0. Let X be a projective variety over K. Assume that there is a finite morphism from X to an abelian variety A with trivial trace. We show that X(K) is contained in the algebraic special subset. In particular, if further X is of general type, then X(K) is not Zariski dense.

 

Bio: Junyi Xie is a Professor at Beijing International Center for Mathematical Research, Peking University. He received Licence 3 and Master from École Normale Supérieure and Paris 7 in 2011, and PhD from Centre de mathématiques Laurent Schwartz de École Polytechnique. He was a full researcher at CNRS from 2016 to 2021. Also, he had postdoc experiences at the University of Rennes 1 and the Institute of Mathematics of Toulouse. The main research interests of Junyi Xie lie in arithmetic dynamics and related questions in algebraic geometry.