Mazur's torsion theorem
In 1970s, Mazur proved the celebrated torsion theorem which determines the possible torsion subgroups of the Mordell-Weil groups for elliptic curves over rational numbers. In addition to the significance of the result, Mazur's proof introduced many beautiful ideas which are important in studying arithmetic geometry. In this course, we will go over relevant background materials and main ideas of Mazur's proof.
Lecturer
Date
24th September, 2024 ~ 2nd January, 2025
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Tuesday,Thursday | 09:50 - 11:25 | A3-1a-204 | ZOOM 09 | 230 432 7880 | BIMSA |
Prerequisite
Basic algebraic number theory and algebraic geometry
Syllabus
TBA
Reference
"Modular curves and the Eisenstein ideal" by Barry Mazur, Publications mathématiques de l’I.H.É.S. (1977)
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).