Morningside Center of Mathematics

Chinese Academy of Sciences

中国科学院晨兴数学中心

Morningside Center of Mathematics

Chinese Academy of Sciences

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. |

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