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On the distribution problem of Selmer groups

组织者

李京艳 , 吴杰 , 杨南君

演讲者

朱秀武

时间

2022年10月31日 15:30 至 17:00

地点

1129B

线上

Zoom 537 192 5549 (BIMSA)

摘要

The distribution problem of arithmetic objects in some particular family is interesting. In this talk, we fix a rank and discuss the densities of the ideal class groups of quadratic fields and the Selmer groups of elliptic curves in some twisted families. The idea is to interpret them as ranks of the matrices of residue symbols; then study the distribution of residue symbols.