L'Endoscopie Tordue n'est pas si Tordue
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The author considers the fundamental lemma for twisted endoscopy, for the units of Hecke algebras only. He proves that it is true if two other lemmas are true: the fundamental lemma for Lie algebras (and non-twisted endoscopy) and another lemma called "non-standard fundamental lemma". This lemma assert equality between stable orbital integrals on the Lie algebras of two groups as a symplectic group and an odd special orthogonal group of the same rank. A similar result is proved for transfer conjecture.
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