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...
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 |
Similar Items
-
Weil representation and Arithmetic Fundamental Lemma
by: Zhang
Published: (2021) -
FINE DELIGNE–LUSZTIG VARIETIES AND ARITHMETIC FUNDAMENTAL LEMMAS
by: XUHUA HE, et al.
Published: (2019-01-01) -
DERIVED HECKE ALGEBRA AND COHOMOLOGY OF ARITHMETIC GROUPS
by: AKSHAY VENKATESH
Published: (2019-01-01) -
An arithmetic regularity lemma, associated counting lemma, and
applications
by: Green, B, et al.
Published: (2010) -
Nekrasov and Argyres–Douglas theories in spherical Hecke algebra representation
by: Chaiho Rim, et al.
Published: (2017-06-01)