Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2021
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2107.10591 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909167487287296 |
|---|---|
| author | Okada, Emile |
| author_facet | Okada, Emile |
| contents | Let $(π,X)$ be a depth-$0$ admissible smooth complex representation of a $p$-adic reductive group that splits over an unramified extension. In this paper we develop the theory necessary to study the wavefront set of $X$ over a maximal unramified field extension of the base $p$-adic field. In the final section we then apply these methods to compute the geometric wavefront set of spherical Arthur representations of split $p$-adic reductive groups. In this case we see how the wavefront set over a maximal unramified extension can be computed using perverse sheaves on the Langlands dual group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_10591 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | The wavefront set over a maximal unramified field extension Okada, Emile Representation Theory Let $(π,X)$ be a depth-$0$ admissible smooth complex representation of a $p$-adic reductive group that splits over an unramified extension. In this paper we develop the theory necessary to study the wavefront set of $X$ over a maximal unramified field extension of the base $p$-adic field. In the final section we then apply these methods to compute the geometric wavefront set of spherical Arthur representations of split $p$-adic reductive groups. In this case we see how the wavefront set over a maximal unramified extension can be computed using perverse sheaves on the Langlands dual group. |
| title | The wavefront set over a maximal unramified field extension |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2107.10591 |