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Article Dans Une Revue Transactions of the American Mathematical Society Année : 2019

Geometric side of a local relative trace formula

Résumé

Following a scheme suggested by B. Feigon, we investigate a local relative trace formula in the situation of a reductive p-adic group G relative to a symmetric subgroup H " HpF q where H is split over the local field F of characteristic zero and G " GpF q is the restriction of scalars of H IE relative to a quadratic unramified extension E of F. We adapt techniques of the proof of the local trace formula by J. Arthur in order to get a geometric expansion of the integral over H ˆ H of a truncated kernel associated to the regular representation of G. Mathematics Subject Classification 2000: 11F72, 22E50.
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Dates et versions

hal-01467988 , version 1 (15-02-2017)

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Patrick Delorme, Pascale Harinck, Sofiane Souaifi. Geometric side of a local relative trace formula. Transactions of the American Mathematical Society, 2019, 371 (3), pp.1815-1857. ⟨10.1090/tran/7360⟩. ⟨hal-01467988⟩
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