STNB2026 (39th edition)
Revisiting the Fermat equation of exponents (3,3,p)
Presenters
Diana Mocanu
Abstract
Wiles’ famous proof of Fermat’s Last Theorem opened up the possibility of tackling many Diophantine equations using the same method, called the modular method. In this talk, I will give a brief sketch of the modular method and then use it to show that the equation $x^3+y^3=5^\alpha c^p$ has no non-trivial coprime solutions for p in a given list of primes. In the elimination step, I will use a recent joint work with Nuno Freitas on local points on twists of the modular curve X(p).
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