Arithmetic fundamental lemma for the spherical Hecke algebra

We define Hecke correspondences and Hecke operators on unitary RZ spaces and study their basic geometric properties, including a commutativity conjecture on Hecke operators. Then we formulate the arithmetic fundamental lemma conjecture for the spherical Hecke algebra. We also formulate a conjecture...

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Bibliographic Details
Main Authors: Li, Chao, Rapoport, Michael, Zhang, Wei
Format: Article
Language:English
Published: Springer Science and Business Media LLC 2024
Online Access:https://hdl.handle.net/1721.1/155304