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홈 > 학술정보 >학술행사 > 세미나
한국고등과학원 세미나

Title
[GS-NT] Non-existence of nontrivial finite $Lambda$-submodules of +/- Selmer groups
Speaker
Takahiro Kitajima   (Keio University )
Date
2017-12-15 16:00:00
Host
KIAS
Place
1424
Abstract
Let $E$ be an elliptic curve over $?mathbb Q$ which has supersingular reduction at some odd prime number $p$, $F$ a finite abelian number field and $F_{?infty}/F$ the cyclotomic $?mathbb Z_p$-extension. Assume that $a_p=0$. Then Kobayashi defined the plus and the minus Selmer groups of $E$ over $F_{?infty}$ and proved that their Pontryagin duals are $?Lambda$-torsion. It is a basic question whether the Pontryagin duals of the plus and the minus Selmer groups of $E$ over $F_{infty}$ have nontrivial finite $Lambda$-submodules or not. In this talk, we present a result on the non-existence of non-trivial ?nite $Lambda$-submodules. Our result is a generalization of B.D. Kim's result in 2013. This is joint work with R. Otsuki.
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