For more information about this meeting, contact Robert Vaughan.

Title: | Torsion points and families of elliptic curves |

Seminar: | Algebra and Number Theory Seminar |

Speaker: | David Masser, University of Basle |

Abstract: |

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. |

### Room Reservation Information

Room Number: | MB106 |

Date: | 02 / 04 / 2010 |

Time: | 11:15am - 12:05pm |