Adjoint Swan Conductors I: The Essentially Tame Case

作者:Reeder Mark*
来源:International Mathematics Research Notices, 2018, (9): 2661-2692.
DOI:10.1093/imrn/rnw301

摘要

Let W be the Weil group of a p-adic field and let g be a simple complex Lie algebra. We prove lower bounds for Swan conductors of representations of W by automorphisms of g and give necessary and sufficient conditions for equality. We also relate these bounds to the Local Langlands Correspondence and to the representation theory of p-adic groups.

  • 出版日期2018-5