Torsion on elliptic curves
This is a sequel to the previous semester's course (which was on Mazur's torsion theorem). We will discuss various topics related to Ogg's torsion conjecture for elliptic curves, focusing on Merel's generalization of Mazur's theorem to elliptic curves over any number fields.
Lecturer
Date
20th February ~ 26th June, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Thursday | 08:50 - 11:25 | A3-1a-204 | ZOOM 09 | 230 432 7880 | BIMSA |
Prerequisite
Familiarity with the material covered in previous semester is recommended (notes available here: https://bimsa.net/activity/Maztorthe/)
Syllabus
TBA
Reference
1. L. Merel "Bornes pour la torsion des courbes elliptiques sur les corps de nombre" Invent. Math.
2. B. Mazur "Rational isogenies of prime degree" Invent. Math.
2. B. Mazur "Rational isogenies of prime degree" Invent. Math.
Audience
Advanced Undergraduate
, Graduate
, Postdoc
, Researcher
Video Public
No
Notes Public
Yes
Language
English
Lecturer Intro
Yong Suk Moon joined BIMSA in 2022 fall as an assistant professor. His research area is number theory and arithmetic geometry. More specifically, his current research focuses on p-adic Hodge theory, Fontaine-Mazur conjecture, and p-adic Langlands program. He completed his Ph.D at Harvard University in 2016, and was a Golomb visiting assistant professor at Purdue University (2016-19) and a postdoctoral researcher at University of Arizona (2019 - 22).