The author discusses their ongoing project of teaching a computer a proof of Fermat’s Last Theorem, focusing on formalizing modern mathematics using the Lean system. The project involves teaching the computer concepts like crystalline cohomology, with the challenge of fixing errors in established theories due to inadequate documentation. The story highlights the importance of formalizing mathematics to minimize errors and make it accessible to machines for future advancements. The collaboration with experts, such as Antoine Chambert-Loir and Maria Ines de Frutos Fernandez, showcases the steady progress despite setbacks. The ultimate goal is to empower computers to contribute to modern number theory and revolutionize the field.
https://xenaproject.wordpress.com/2024/12/11/fermats-last-theorem-how-its-going/