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arXiv · 1502.07368

Endoscopic transfer of orbital integrals in large residual characteristic

Julia Gordon·Thomas Hales
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Abstract

This article constructs Shalika germs in the context of motivic integration, both for ordinary orbital integrals and kappa-orbital integrals. Based on transfer principles in motivic integration and on Waldspurger's endoscopic transfer of smooth functions in characteristic zero, we deduce the endoscopic transfer of smooth functions in sufficiently large residual characteristic.

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Julia Gordon, Thomas Hales. 2015-02-25. Endoscopic transfer of orbital integrals in large residual characteristic. https://arxiv.org/abs/1502.07368

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