BIMSA > BIMSA Topology Seminar On the distribution problem of Selmer groups
On the distribution problem of Selmer groups
Organizers
Jing Yan Li , Jie Wu , Nanjun Yang
Speaker
Xiu Wu Zhu
Time
Monday, October 31, 2022 3:30 PM - 5:00 PM
Venue
1129B
Online
Zoom 537 192 5549 (BIMSA)
Abstract
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.