Larsen's conjecture for elliptic curves over Q with analytic rank at m…
dohyeongkim
27동 325호
0
409
02.06 08:22
| 구분 | 정수론,DASOM,학부생,학생(팀) |
|---|---|
| 일정 | 2026-04-17 11:00 ~ 12:30 |
| 강연자 | 최석현 (카이스트) |
| 기타 | |
| 담당교수 | 김도형 |
Title. Larsen's conjecture for elliptic curves over Q with analytic rank at most one
Abstract.
Larsen conjectured that for an abelian variety $A$ over a finitely generated infinite field $k$, the rank of $A((k^{\mathrm{sep}})^G)$ is infinite for every topologically finitely generated subgroup $G$ of $G_k$. In this talk, I will explain a proof of this conjecture for elliptic curves $E/\mathbb{Q}$ of analytic rank at most one. The argument uses the Heegner point method.
