Corijn Rudrum

London School of Geometry and Number Theory (LSGNT)


Non-abelian Selmer group Chabauty for the S-unit equation


Linfoot Number Theory Seminar


30th October 2024, 11:00 am – 12:00 pm
Fry Building, 2.04


The Selmer group Chabauty method described by Stoll in 2017 can be used to determine the set of rational points on certain curves without having to compute explicit generators for the Mordell-Weil group of their Jacobians. In this talk, I will give a brief overview of Stoll's method and discuss work in progress on a "non-abelian" version of this method inspired by Kim's generalisation of the Chabauty-Coleman method. Specifically, we will consider the method in the context of solving the S-unit equation, a classical Diophantine equation serving as the "simplest" example where the non-abelian method extends the original.





Organisers: Holly Green, Besfort Shala

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