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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.

Act One — Impossibility
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
Act Two — The unfolding
Jordan's century · Symmetries of the physical world · Deep arithmetic · Representations · First unveiling
Act Three — The correspondence
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