Algebra Seminar, Michael Chou '11 (UConn): Torsion of rational elliptic curves over quartic Galois number fields

Friday, October 9, 2015
1:10 PM - 2:00 PM (ET)
Exley Science Center (Tower)
Event Type
Seminar/Colloquium
Contact
Christopher Rasmussen
Department
Mathematics and Computer Science
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=64663

 

Abstract:  The classification of the torsion subgroup of elliptic curves over \mathbb{Q} was determined by Mazur. The classification over quadratic number fields was completed due to work of Kamienny, Kenku, and Momose.

However, over cubic fields the classification is already incomplete. In this talk we discuss a refined version of this problem: let E be an elliptic curve defined over \mathbb{Q} and K be a number field of degree d; what groups appear as E(K)_{\text{tors}}? In particular, we will present a classification over all quartic Galois number fields K and show how the techniques used may be applied to other fields.

Algebra Seminar, Michael Chou '11 (UConn): Torsion of rational elliptic curves over quartic Galois number fields 1:10 PM - 2:00 PM (ET)
Exley Science Center (Tower)
265 Church Street, Middletown, CT 06457
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