Time:10:00-12:00, 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.