Calabi-Yau Theorem and Algebraic Dynamics

Abstract

In this talk, the speaker will first state a Calabi-Yau theorem for both complex and p-adic manifolds and applications to dynamical system on complex varieties in terms of preperiodic points. He will then discuss dynamical Manin-Mumford conjectures with both supporting examples and counterexamples.

This is a report of joint works with YUAN Xinyi, and GHIOCA and TUCKER respectively.

About the speaker

Prof. Zhang Shou-Wu is a professor of mathematics at Columbia University. He specializes in number theory and arithmetical algebraic geometry. He got his bachelor's degree from Zhongshan University in 1983, master's degree from the Chinese Academy of Sciences in 1986, and PhD from Columbia University in 1991. Before he joined Columbia University's faculty in 1996, he was a member of the Institute for Advanced Study and an assistant professor at Princeton University.

Prof. Zhang was an invited speaker of the International Congress of Mathematicians at Berlin in1998 and was awarded a Morningside Gold Medal of Mathematics in the same year by the International Congress of Chinese Mathematicians for his work on the Bogomolov conjecture and Gross-Zagier formula. He was a Sloan Research Fellow, a Guggenheim Fellow, a L.-K. Hua Chair Professor at Chinese Academy of Sciences, a Changjiang Chair Professor at Tsinghua University, and a Prize Fellow at Clay Mathematical Institute. He is on the editorial boards of the Journal of Algebraic Geometry, Journal of Differential Geometry, and Science in China, among other publications.