Bounds on 2-torsion in class groups of number fields

报告题目：Bounds on 2-torsion in class groups of number fields

报告人：赵永强 教授（西湖高等研究院）

时间：2018年3月30日（周五）上午10: 00-11: 00

地点：工商楼四楼报告厅

摘要：

A folklore conjecture asserts that for any fixed prime p and integer n, the size of the p-torsion in the class group of a degree n number field is smaller than any power of the discriminant. In all but a handful of cases, the best known result towards this conjecture is the trivial bound given by the Brauer-Siegel Theorem.

We make progress on this conjecture by giving the first nontrivial bound on the size of the 2-torsion of the class group of any number field in terms of its discriminant.  Several applications of this result will also be discussed.

联系人：李方 教授（fangli@zju.edu.cn）

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