Number Theory Seminar

Speaker: Peter Stevenhagen (Leiden).

Title: Adelic points of elliptic curves.

Abstract: For an elliptic curve E defined over a number field K,  the group of points of E defined over the adele ring of K is a topological group that may be analyzed in terms of the Galois representation associated to the torsion points of E. 
We give an explicit description of this topological group, and show that for `almost all' E/K, it is isomorphic to a universal group $U_n$ depending only on the degree n of K over Q. This is joint work with Athanasios Angelakis.

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