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DAGA Seminar: Mordell-Weil groups of elliptic curves under field extension

Tuesday 22 May 2012 - Hershy Kisilevsky

ARGOMENTI: Seminari

DAGA SEMINAR
Tuesday May 22, 2012, h.11:00, room SRVII
Hershy Kisilevsky (Concordia University, Montreal)
"Mordell-Weil groups of elliptic curves under field extension"

-Abstract
Let E be an elliptic curve defined over the rational field Q with L-function L(E,s). We are interested in studying E(K) as K varies over finite extensions of Q. Analytically this questions translates (under the Birch and Swinnerton-Dyer conjecture) into when L(E,1,?)=0 for Artin characters ?. For [K:Q]=2, there is an extensive literature on this question. We present our results and conjectures when [K:Q]>2.

Rif. int. A. Bertapelle

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