Quasi-tempered automorphic D-modules

Færgeman, Joakim

doi:10.1090/tran/9292

Quasi-tempered automorphic D-modules
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by Joakim Færgeman;

Trans. Amer. Math. Soc. 378 (2025), 1401-1431

DOI: https://doi.org/10.1090/tran/9292

Published electronically: November 19, 2024

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Abstract:

In this paper, we introduce the category of quasi-tempered automorphic D-modules, which is a rather natural class of D-modules from the point of view of geometric Langlands. We provide a characterization of this category in terms of singular support, and as a consequence, we obtain certain microlocal categorical Künneth formulas.

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