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Explicit p-adic regulators for K_2 of elliptic curves

Giovedi' 26 Maggio 2011 - Francois Brunault

ARGOMENTI: Seminari

Giovedi 26 maggio 2011 alle ore 11:30 in aula 1A150 Francois Brunault (Lyon) terra' un seminario dal titolo "Explicit p-adic regulators for K_2 of elliptic curves".

-Abstract
We will explain how to use the local part of Kato's Euler system and the Perrin-Riou exponential map to get an explicit formula for the p-adic regulator of specific elements in K_2 of the modular curve X(N). From this we deduce a similar formula for the modular curves X_1(N) and X_0(N). This construction yields, for an elliptic curve E defined over Q without complex multiplication, an explicit element in K_2(E) whose p-adic regulator is proportional to the special value at 0 of the p-adic L-function associated to E.

Rif. int. A. Bertapelle

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