Chabauty-Kim method in Diophantine geometry II
This course is a sequel of previous semester's (https://bimsa.net/activity/ChametinDiogeo/). We will give a gentle introduction to Chabauty-Kim method, and study concrete examples.
Lecturer
Date
4th March ~ 17th June, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Wednesday | 09:50 - 12:15 | A3-1a-205 | ZOOM 08 | 787 662 9899 | BIMSA |
Prerequisite
Familiarity with the material covered in previous course (e.g. classical Chabauty-Coleman method) will be helpful.
Reference
1. R. Coleman. "Effective Chabauty", "Torsion points on curves and p-adic abelian integrals"
2. M. Kim. "The motivic fundamental group of P1 \ {0,1,∞} and the theorem of Siegel", "The unipotent Albanese map and Selmer varieties for curves"
3. J. Balakrishnan - N. Dogra. "Quadratic Chabauty and rational points I: p-adic heights", "An effective Chabauty-Kim theorem"
4. More references can be found in Arizona Winter School 2020.
2. M. Kim. "The motivic fundamental group of P1 \ {0,1,∞} and the theorem of Siegel", "The unipotent Albanese map and Selmer varieties for curves"
3. J. Balakrishnan - N. Dogra. "Quadratic Chabauty and rational points I: p-adic heights", "An effective Chabauty-Kim theorem"
4. More references can be found in Arizona Winter School 2020.
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).