Almost rational torsion points on elliptic curves <p>

Frank Calegari <p>

Let $A/\Bbb Q$ be an Abelian Variety. Let $P$ be a torsion
point on $A$. Then $P$ is an \emph{almost
rational torsion point} if it has the following property:
Any two non-trivial Galois conjugates $\sigma P$, $\tau P$
of $P$ have sum different from $2P$. In this talk, we
explain the connection between almost rational torsion
points and the Manin-Mumford conjecture, and we
classify almost rational torsion points on semistable
elliptic curves.