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- W4288055818 abstract "For a reductive group $G$ over a non-archimedean local field, with some assumptions on (residue) characteristic we give an method to compute certain orbital integrals using a method close to that of Goresky-Kottiwitz-MacPherson but in a different language. These orbital integrals allow us to compute the Shalika germs at some ``very elliptic'' elements in terms of number of rational points on some quasi-finite covers of the Hessenberg varieties of GKM, which are subvarieties of (partial) flag varieties. Such values of Shalika germs determine the Harish-Chandra local character expansions of the so-called very supercuspidal representations." @default.
- W4288055818 created "2022-07-28" @default.
- W4288055818 creator A5012270649 @default.
- W4288055818 date "2022-07-22" @default.
- W4288055818 modified "2023-09-23" @default.
- W4288055818 title "Computations of orbital integrals and Shalika germs" @default.
- W4288055818 doi "https://doi.org/10.48550/arxiv.2207.11296" @default.
- W4288055818 hasPublicationYear "2022" @default.
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