| Equipe(s) : | fa, tn, tga, |
| Responsables : | Marc Hindry, Bruno Kahn, Wieslawa Niziol, Cathy Swaenepoel |
| Email des responsables : | cathy.swaenepoel@imj-prg.fr |
| Salle : | |
| Adresse : | |
| Description | http://www.imj-prg.fr/tn/STN/stnj.html
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| Orateur(s) | Abbey Bourdon - Wake Forest University, |
| Titre | On Isolated Points of Odd Degree |
| Date | 28/09/2020 |
| Horaire | 14:00 à 15:00 |
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| Diffusion | https://bigbluebutton2.imj-prg.fr/b/joa-4zg-7rk |
| Résume | Let C be a curve defined over a number field k. We say a closed point x on C of degree d is isolated if it does not belong to an infinite family of degree d points parametrized by the projective line or a positive rank abelian subvariety of the curve's Jacobian. There are only finitely many isolated points on C of any degree, and this collection can be difficult to identify explicitly, especially as the genus of C (and thus the possible degree of an isolated point) grows. Motivated by the well-known problem of classifying torsion subgroups of elliptic curves over number fields, we will restrict to the case where C is the modular curve X_1(N). Prior joint work with Ejder, Liu, Odumodu, and Viray showed that there are only finitely many elliptic curves with rational j-invariant which give rise to an isolated point of any degree on any modular curve of the form X_1(N), assuming Serre's Uniformity Conjecture. In this talk, I will discuss a recent unconditional version of this result for isolated points of odd degree, which is joint work with David Gill, Jeremy Rouse, and Lori Watson. |
| Salle | Demander aux organisateurs pour le code d'accès |
| Adresse | BigBlueButton TN |