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- W2738906782 abstract "The Test Function Conjecture due to Haines and Kottwitz predicts that the geometric Bernstein center is a source of test functions required by the Langlands-Kottwitz method for expressing the local semisimple Hasse-Weil zeta function of a Shimura variety in terms of automorphic L-functions. Haines and Rapoport found an explicit formula for such test functions in the Drinfeld case with pro-p Iwahori level structure. This article generalizes the Haines-Rapoport formula for the Drinfeld case to a broader class of split groups. The main theorem presents a new formula for test functions with pro-p Iwahori level structure, which can be computed through some combinatorics on Coxeter groups. Explicit descriptions of the test function in certain low-rank general linear and symplectic group examples are included." @default.
- W2738906782 created "2017-07-31" @default.
- W2738906782 creator A5000616356 @default.
- W2738906782 date "2017-08-27" @default.
- W2738906782 modified "2023-09-27" @default.
- W2738906782 title "A Combinatorial Formula for Test Functions with Pro-p Iwahori Level Structure" @default.
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- W2738906782 doi "https://doi.org/10.13016/m2xw00" @default.
- W2738906782 hasPublicationYear "2017" @default.
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