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arXiv · 1705.05167

Remarks on the arithmetic fundamental lemma

Chao Li·Yihang Zhu
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Abstract

W. Zhang's arithmetic fundamental lemma (AFL) is a conjectural identity between the derivative of an orbital integral on a symmetric space with an arithmetic intersection number on a unitary Rapoport-Zink space. In the minuscule case, Rapoport-Terstiege-Zhang have verified the AFL conjecture via explicit evaluation of both sides of the identity. We present a simpler way for evaluating the arithmetic intersection number, thereby providing a new proof of the AFL conjecture in the minuscule case.

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Chao Li, Yihang Zhu. 2017-11-10. Remarks on the arithmetic fundamental lemma. https://doi.org/10.2140/ant.2017.11.2425

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