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arXiv · 1507.02733

On the notion of conductor in the local geometric Langlands correspondence

Masoud Kamgarpour
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Abstract

Under the local Langlands correspondence, the conductor of an irreducible representation of $\Gl_n(F)$ is greater than the Swan conductor of the corresponding Galois representation. In this paper, we establish the geometric analogue of this statement by showing that the conductor of a categorical representation of the loop group is greater than the irregularity of the corresponding meromorphic connection.

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Masoud Kamgarpour. 2015-07-09. On the notion of conductor in the local geometric Langlands correspondence. https://arxiv.org/abs/1507.02733

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