Equipe(s) :  tn, 
Responsables :  Ziyang Gao, Marc Hindry, Bruno Kahn, João Pedro P. dos Santos 
Email des responsables :  ziyang.gao@imjprg.fr 
Salle :  
Adresse :  
Description  http://www.imjprg.fr/tn/STN/stnj.html

Orateur(s)  Abbey Bourdon  Wake Forest University, 
Titre  On Isolated Points of Odd Degree 
Date  28/09/2020 
Horaire  14:00 à 15:00 
Diffusion  https://bigbluebutton2.imjprg.fr/b/joa4zg7rk 
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 wellknown 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 jinvariant 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 