Rational points on curves and the method of Chabauty and Coleman

Event details
Date | 28.11.2023 |
Hour | 14:15 › 16:00 |
Speaker | Stevan Gajovic (Charles University Prague) |
Location | |
Category | Conferences - Seminars |
Event Language | English |
In this talk, we will discuss the method of Chabauty and Coleman and its variations. The original method is powerful for determining rational points on curves satisfying a certain rank condition. Depending on this rank condition, we also discuss the other variations that we can use to determine rational (or more general) points. We pay special attention to the case when the rank condition is violated - in some cases, we can use p-adic heights as an alternative solution. We will also briefly explain how to compute p-adic heights on hyperelliptic curves and their application to the variant called quadratic Chabauty.
Practical information
- General public
- Free
Organizer
- Michel Philippe
Contact
- Laetitia Al-Sulaymaniyin