Presented By: Department of Mathematics
RTG Seminar on Number Theory Seminar
Elliptic curves with prescribed torsion over imaginary quadratic fields
2pm Pre-talk Title: Torsion subgroups of elliptic curves
Pre-talk Abstract: Torsion subgroups of elliptic curves have been studied extensively in the recent past. Graduate students will be able to review, learn, and/or catch up with the main results and recent developments on this topic.
Main talk Abstract:
A generalization of Mazur's theorem states that there are 26 possibilities for the torsion subgroup of an elliptic curve over a quadratic extension of Q. If G is one of these groups, we count the number of elliptic curves of bounded naive height whose torsion subgroup is isomorphic to G in the case of imaginary quadratic fields. Speaker(s): Allechar Serrano Lopez (University of Utah)
Pre-talk Abstract: Torsion subgroups of elliptic curves have been studied extensively in the recent past. Graduate students will be able to review, learn, and/or catch up with the main results and recent developments on this topic.
Main talk Abstract:
A generalization of Mazur's theorem states that there are 26 possibilities for the torsion subgroup of an elliptic curve over a quadratic extension of Q. If G is one of these groups, we count the number of elliptic curves of bounded naive height whose torsion subgroup is isomorphic to G in the case of imaginary quadratic fields. Speaker(s): Allechar Serrano Lopez (University of Utah)
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