Aspects of the Bogomolov conjectures

• 主讲人：Xinyi Yuan (Beijing International Center for Mathematical Research)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2022-10-06 20:00 - 2022-10-06 21:00
• 地点： online

Recordinig: https://disk.pku.edu.cn:443/link/A60F3CA06FB856C9E5BA5A362C8714D0
Valid Until: 2026-11-30 23:59

 

Abstract: The original Bogomolov conjecture (proved by Ullmo) asserts that a projective curve of genus greater than 1 over a number field has only finitely many points of small Neron-Tate heights. We will introduce this conjecture and the recent developments on other versions of it, including the geometric Bogomolov conjecture and the uniform Bogomolov conjecture.

 

Bio: Xinyi Yuan is currently a chair professor at Peking University. He got his Bachelor’s Degree from Peking University in 2003, and got his PHD from Columbia University in 2008. Before joining Peking University in 2020, he was an associate professor at UC Berkeley. He specializes in number theory and arithmetic geometry.