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arXiv:1203.5827 [math.NT]AbstractReferencesReviewsResources

On the Arithmetic Fundamental Lemma in the minuscule case

Michael Rapoport, Ulrich Terstiege, Wei Zhang

Published 2012-03-26, updated 2013-03-01Version 3

The arithmetic fundamental lemma conjecture of the third author connects the derivative of an orbital integral on a symmetric space with an intersection number on a formal moduli space of $p$-divisible groups of Picard type. It arises in the relative trace formula approach to the arithmetic Gan-Gross-Prasad conjecture. We prove this conjecture in the minuscule case.

Comments: Referee's comments incorporated; in particular, the existence of frames for using the theory of displays in the proofs of Theorems 9.4 and 9.5 is clarified. To appear in Compositio Math
Journal: Compositio Mathematica, 2013, volume 149, issue 10, pp. 1631-1666
Categories: math.NT, math.AG, math.RT
Subjects: 11G18, 14G17, 22E55
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