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arXiv · 1502.02855

On the Arithmetic Fundamental Lemma through Lie algebras

Andreas Mihatsch
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Abstract

We prove that the Arithmetic Fundamental Lemma conjecture of Wei Zhang is equivalent to a similar conjecture, but for Lie algebras, in the case of non-degenerate intersection. We use this result to give a simplified proof of the AFL for $n=3$. The idea for the reduction to the Lie algebra is due to Wei Zhang.

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Andreas Mihatsch. 2015-02-10. On the Arithmetic Fundamental Lemma through Lie algebras. https://arxiv.org/abs/1502.02855

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