珠海数学杰出学者讲座第57讲-Integral Hodge conjecture

讲座题目：Integral Hodge conjecture
讲座时间 Datetime:2025年12月30日， 周二， 15：00-17：00
地点 Venue: 海琴二号A334
主持人 Host：李铎 副教授
报告人 Speaker:  田志宇 教授

单位 Affiliation: 北京大学
报告摘要 Abstract: 
When Hodge first formulated his conjecture, he used singular cohomology with integral coefficient instead of cohomology with rational coefficient. It is now well-known that this original integral version of Hodge conjecture is false in general. However, in recent years, there is a renewed interest of studying the integral Hodge conjecture for one-cycles and its analogue in l-adic cohomology, because of its connections to birational geometry and arithmetic geometry. I will explain its broader context and some recent advance in this question.
报告人简介：
田志宇现任职于北京大学国际数学研究中心，曾任加州理工大学Taussky-Todd学者，法国国家科学中心副研究员。长期聚集于有理连通代数簇的几何、拓扑与算术研究。在JAMS, JEMS, Duke journal math等国际顶级期刊发表多篇论文。