Counting cubic fields with bounded discriminant
主 题: Counting cubic fields with bounded discriminant
报告人: 赵永强博士 (CRM, Centre de Recherches Math)
时 间: 2014-12-17 14:00-15:00
地 点: 理科一号楼1560（主持人：安金鹏）
In this talk, I will present the recent work of establishing the secondary terms of counting functions of cubic number fields or cubic function fields with bounded discriminant. These secondary terms had been conjectured by Datskovsky-Wright and Roberts, proofs of these were obtained independently by Bhargava, Shankar and Tsimerman, Taniguchi and Thorne for number fields and the speaker for function fields. After briefly reviewing the other groups’ approaches, I will focus on my work on function fields. If time permits, I will indicate how the
algebro-geometric method used here feeds back to number theory.
