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#### Mathematisches Kolloquium

„Some relative cases of Manin-Mumford for abelian surfaces“
Prof. Umberto Zannier, Scuole Normale Superiore (Italien)

A few years ago Masser posed as a question whether two points $P,Q$ with abscissas resp. $2,3$, lying on the Legendre elliptic curve $y^2=x(x-1)(x-\lambda)$, may become torsion for an infinity of complex values of $\lambda$. This may be viewed as a `relative' case of the celebrated conjecture of Manin-Mumford (proved by Raynaud in 1983); it also appeared as a special case of conjectures raised independently by Pink around 2005. A finiteness answer has been recently proved for Masser's question. In the talk we shall discuss this and several more recent developments; we shall present in some detail the main points of the proof-method, which admits applications also to other related issues.

Donnerstag, den 20. Oktober 2011 um 17 c.t. Uhr, in INF 288, HS2 Donnerstag, den 20. Oktober 2011 at 17 c.t., in INF 288, HS2

Der Vortrag folgt der Einladung von The lecture takes place at invitation by W. Kohnen