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Geometric quadratic Chabauty without equations I: overview

Posted in
Speaker: 
Guido Maria Lido
Affiliation: 
Tor Vergata University of Rome
Date: 
Wed, 01/07/2026 - 12:00 - 12:35
Location: 
MPIM Lecture Hall
Parent event: 
ChaBONNty conference

We discuss a geometric quadratic Chabauty algorithm for the normalizers of non-split Cartan curves. The method approaches the problem of finding rational points from a modular point of view: in particular, we do not use defining equations for the curves. The first challenge is to describe the Poincaré torsor in such a way.

This is joint work with Khuri-Makdisi, Hashimoto, Lombardo, Mascot, and Parent.



 

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