7th Westlake Online Math Forum | Junyi Xie: The geometric Bombieri-Lang conjecture for varieties of maximal Albanese dimension

2023-03-11 15:19:24
报告人 时间 10:00-12:00
地点 ZOOM 2023
月日 03-14

Time10:00-12:00, Tuesday, Mar 14, 2023

ZOOM ID: 965 2601 1530

PASSCODE: 734380


Host: Dr. Zhuchao Ji, Institute for Theoretical Sciences, Westlake University

Speaker:Chair Professor Junyi Xie, Peking University

Biography: Junyi Xie is a Chair Professor in mathematics of Peking University. His research is in arithmetic dynamics. He also works in related topics in algebraic geometry, diophantine geometry and complex dynamics.


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

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.


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