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arXiv · 2606.25387

The tilting property of Whittaker averaged central sheaves

Jeremy Taylor
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Abstract

We characterize the kernel of Iwahori-Whittaker averaging in microlocal terms. Applying this to automorphic sheaves, we generalize Faergeman and Raskin's theorem that anti-temperedness is equivalent to having irregular singular support. Moreover, using a Radon transform argument of Bezrukavnikov and Morton-Ferguson, we extend the tilting property of Whittaker averaged central sheaves to integer coefficients.

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Jeremy Taylor. 2026-06-24. The tilting property of Whittaker averaged central sheaves. https://arxiv.org/abs/2606.25387

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