(2022-10-14) Seminar: Ke Chen -- On Shimura subvarieties away from the Torelli locus

发布者:杨璐发布时间:2022-10-12浏览次数:155

陈柯 副教授学术报告


Title: On Shimura subvarieties away from the Torelli locus

Speaker: Assoc. Prof. Ke CHEN (陈柯)

Affiliation: Nanjing University (南京大学)

Time: 16:00-17:00, Friday, October 14th, 2022 (UTC+8, Beijing Time)

Venue: Tencent Meeting (906-590-825)

点击链接入会,或添加至会议列表:https://meeting.tencent.com/dm/bOyiQXN6mMy4

Inviter: Chao ZHANG (张超)


Abstract
Coleman conjectured that when the genus g is sufficiently large, the Torelli locus in the Siegel modular variety A_g should contain at most finitely many CM points, namely there should be at most finitely many smooth projective curves (up to isomorphism) of genus g whose Jacobians admit complex multiplication. We explain geometric and arithmetic aspects of recent progress on this conjecture in term of Shimura subvarieties in A_g, based on joint work with Kang Zuo and Xin Lv.


About the Speaker

陈柯,南京大学副教授,研究方向为算术代数几何,2009年博士毕业于巴黎十一大,导师为算术几何名家Emmanuel Ullmo。其于2010年获首届新世界数学奖(博士论文银奖),且曾在 Ann. Sci. Éc. Norm. Supér.Compos. Math.Math. Ann.等顶级杂志发表论文数篇。

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