1 results
On the Notion of Conductor in the Local Geometric Langlands Correspondence
-
- Journal:
- Canadian Journal of Mathematics / Volume 69 / Issue 1 / 01 February 2017
- Published online by Cambridge University Press:
- 20 November 2018, pp. 107-129
- Print publication:
- 01 February 2017
-
- Article
-
- You have access
- Export citation
-
Under the local Langlands correspondence, the conductor of an irreducible representation of
$\text{G}{{\text{l}}_{n}}\left( F \right)$ 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.
