{
  "annotation_id": "cfd589ab-3289-46d7-922e-7c9d826e77ad",
  "date_created": "2026-02-17T05:53:08.503000Z",
  "date_modified": "2026-02-17T05:53:08.503000Z",
  "file_hash": "3457cf339090ffaba25913779ab5f19a0312baf1e86214d49974330bb175a45a",
  "private": false,
  "record": {
    "abstract": "Deep level Deligne--Lusztig representations, which are natural analogues of classical Deligne--Lusztig representations, recently play an important role in geometrization of irreducible supercuspidals of $p$-adic groups. In this paper, we propose a construction of deep level Deligne--Lusztig varieties/representations in the tamely ramified case, extending previous constructions in the unramified case. As an application, under a mild assumption on the residue field, we show that each regular irreducible supercuspidal is the compact induction of a deep level Deligne--Lusztig representation, and generally, each irreducible supercuspidal is a direct summand of the compact induction of the cohomology of a deep level Deligne--Lusztig variety.",
    "arxiv_id": "2601.06929",
    "authors": [
      "Alexander B. Ivanov",
      "Sian Nie"
    ],
    "categories": [
      "math.RT",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Deep level Deligne--Lusztig induction for tamely ramified tori",
    "url": "https://arxiv.org/abs/2601.06929",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e863b380-cf01-4ba7-b1ea-ec7115558b55",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}