On the arithmetic fundamental lemma in the minuscule case

Rapoport, Michael; Terstiege, Ulrich und Zhang, Wei (4. July 2013): On the arithmetic fundamental lemma in the minuscule case. In: Compositio Mathematica, Vol. 149, No. 10: pp. 1631-1666

Abstract

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.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics > Chair of Mathematics of Information Processing
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0010-437X
• Language: English