For more information about this meeting, contact Robert Vaughan.
| Title: | Torsion points and families of elliptic curves |
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| Seminar: | Algebra and Number Theory Seminar |
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| Speaker: | David Masser, University of Basle |
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| Abstract: |
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| 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 |
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| Date: | 02 / 04 / 2010 |
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| Time: | 11:15am - 12:05pm |
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