Rational points on curves and the method of Chabauty and Coleman

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Event details

Date 28.11.2023
Hour 14:1516:00
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

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