# RTG Seminar on Number Theory Seminar

Elliptic curves with prescribed torsion over imaginary quadratic fields

Wednesday, January 13, 2021

2:00-3:50 PM

Virtual
Off Campus Location

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)

Building: | Off Campus Location |
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Location: | Off Campus Location |

Event Type: | Workshop / Seminar |

Tags: | Mathematics |

Source: | Happening @ Michigan from Department of Mathematics |