# Meeting Details

Title: Torsion points and families of elliptic curves Algebra and Number Theory Seminar David Masser, University of Basle We sketch a proof, obtained with Umberto Zannier, that there are at most finitely many complex numbers $\lambda \neq 0,1$ such that two points on the Legendre elliptic curve $Y^2=X(X-1)(X-\lambda)$ with coordinates $X=2,3$ both have finite order. We can also treat arbitrary $X$-coordinates algebraic over the field ${\bf C}(\lambda)$. These are very special cases of general conjectures about unlikely intersections of semiabelian schemes.