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Number Theory Seminar
Seminar information archive ～01/15｜Next seminar｜Future seminars 01/16～
| Date, time & place | Wednesday 17:00 - 18:00 117Room #117 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Naoki Imai, Shane Kelly |
2008/10/22
16:30-17:30 Room #056 (Graduate School of Math. Sci. Bldg.)
Pierre Parent (Universite Bordeaux 1)
Serre's uniformity in the split Cartan case
Pierre Parent (Universite Bordeaux 1)
Serre's uniformity in the split Cartan case
[ Abstract ]
We show that, for large enough prime number p, the modular curve
X_{split}(p) has no other point with values in Q than CM points and the rational cusp. This gives a partial answer to an old question of J.-P. Serre concerning the uniform surjectivity of Galois representations associated to torsion points on elliptic curves without complex multiplication.
(Joint work with Yuri Bilu.)
We show that, for large enough prime number p, the modular curve
X_{split}(p) has no other point with values in Q than CM points and the rational cusp. This gives a partial answer to an old question of J.-P. Serre concerning the uniform surjectivity of Galois representations associated to torsion points on elliptic curves without complex multiplication.
(Joint work with Yuri Bilu.)
