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巴黎北京东京算术几何讨论班 

Seminar of Arithmetic Geometry Paris-Beijing-Tokyo  

主办单位:Institut des Hautes Études Scientifiques中国科学院晨兴数学中心東京大学大学院数理科学研究科  

组织者:  

·            Ahmed Abbes (CNRS, IHÉS), Ariane Mézard (Université Paris 6)  

·            田野田一超郑维喆(晨兴)  

·            斎藤 毅 (Takeshi Saito)志甫 淳 (Atsushi Shiho) 辻 雄 (Takeshi Tsuji) (東大数理) 

时间:原则上每月第二个周三,北京时间下午16:3017:00开始 

本次520日(周三)16:30-17:30  

地点:晨兴110  

 

 

报告人:张寿武 (Princeton University & AMSS) 

题目:Colmez' conjecture in average 

摘要: 

This is a report on a joint work with Xinyi Yuan on a conjectured formula of Colmez about the Faltings heights of CM abelian varieties. I will sketch a deduction of this formula in average of CM types from our early work on Gross-Zagier formula.  When combined with a recent work of Tsimerman, this result implies the Andre-Oort conjecture for the moduli of abelian varieties. 

  

Our method is different than a recently announced proof of a weaker form of the average formula by Andreatta, Howard, Goren, and Madapusi Pera: we use neither high dimensional Shimura varieties nor Borcherds' liftings. 

  

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