Title: Bound on the number of rational points on curves
Speaker: Prof. Ziyang Gao (CNRS)
Time: 2020-7-9, 16:00-17:00
Place: http://www.mcm.ac.cn/activities/programs/znts/202006/t20200609_564205.html
Abstract: Mazur conjectured, after Faltings's proof of the Mordell conjecture, that the number of rational points on a curve depends only on the genus, the degree of the number field and the Mordell-Weil rank. This conjecture was established in a few cases. In this talk I will explain how to prove this conjecture and some of its generalization. I will focus on how functional transcendence and unlikely intersections on mixed Shimura varieties are applied. This is joint work with Vesselin Dimitrov and Philipp Habegger.