On the arithmetic fundamental lemma in the minuscule case

DOI10.1112/S0010437X13007239zbMath1300.11069arXiv1203.5827WikidataQ124804909 ScholiaQ124804909MaRDI QIDQ2860716

Wei Zhang, Ulrich Terstiege, Michael Rapoport

Publication date: 20 November 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5827

zbMATH Keywords

arithmetic fundamental lemmaspecial cyclesRapoport-Zink spacesarithmetic Gan-Gross-Prasad conjecture

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (19)

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Cites Work

• On arithmetic fundamental lemmas
• Multiplicity one theorems
• Intersections of arithmetic Hirzebruch-Zagier cycles
• The fundamental Lemma of Jacquet and Rallis. Appendix by Julia Gordon
• Special cycles on unitary Shimura varieties. I: Unramified local theory
• The supersingular locus of the Shimura variety of \(\text{GU}(1,n-1)\). II
• Representations of reductive groups over finite fields
• Coxeter orbits and eigenspaces of Frobenius
• Minimal length elements of finite Coxeter groups.
• From conjugacy classes in the Weyl group to unipotent classes
• The Supersingular Locus of the Shimura Variety for GU(1, s)
• On the Green Polynomials of Classical Groups
• CONGRUENCE RELATIONS FOR SHIMURA VARIETIES ASSOCIATED TO SOME UNITARY GROUPS

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