The Apocalypse According to Galois
The Revelation of Hidden Symmetries
128 + 324 p.
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On the night of 29 May 1832, in Paris, Évariste Galois, twenty years old, writes a letter to his friend Auguste Chevalier: he is to fight a duel at dawn and senses he will not come back. The pages he leaves behind, long illegible and then slowly understood, contain the outline of a new language — the language of symmetries — destined to reveal the deep unity of mathematics. This book tells what was in those pages, and what two centuries have done to understand them.
Contents
The scribes and the formula · The Renaissance race · The impossible · The world of roots · Invisible symmetries · The group · Solvable and irreducible · The theorem · The night and the duel
Jordan's century · Symmetries of the physical world · Deep arithmetic · Representations · First unveiling
The letter · Two worlds · The number 691 · Fermat falls · Local, global, and the trace formula · The fundamental lemma · Geometric Langlands · The 2024 proof · The meeting with physics · The veil lifted
