STNB2019 (33rd edition)
The Chabauty-Kim method for some modular curves.
Presenters
Netan Dogra
Abstract
The Chabauty-Kim method produces sets of p-adic points on a curve containing the set of rational points. A central question in Kim's programme is to determine when these sets can be proved to be finite. In this talk I will explain a proof of finiteness in two cases of interest: non-split Cartan modular curves of level p and Atkin-Lehner quotients of X0(p). This is joint work with Samuel Le Fourn and Samir Siksek.
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