{
  "abstract": "We prove relative Langlands duality for $X = GL_{p+q}/(GL_p \\times GL_q)$. These symmetric spaces arise in the setting of the linear period of Friedberg-Jacquet when $p=q$, and exhibit non-tempered behavior when $q>p+1$. Via the real-symmetric correspondence, we establish a derived Satake equivalence for the real group $G_{\\mathbb R}=U(p,q)$, and use it to obtain a constructible realization of coherent sheaves on Kato's exotic nilpotent cones. Along the way, we describe the dual variety of $X$ in terms of the Whittaker cotangent bundle and regular centralizers, viewed as Coulomb branches.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31771",
  "author_total": 4,
  "authors": [
    {
      "name": "Tsao-Hsien Chen"
    },
    {
      "name": "Sanath K. Devalapurkar"
    },
    {
      "name": "Mark Macerato"
    },
    {
      "name": "David Nadler"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7f4mp93tnvv33.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31771",
  "fulltext_url": null,
  "id": "7f4mp93tnvv33",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31771",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.RT"
    ],
    [
      "openalex",
      "2610|Advanced Algebra and Geometry"
    ]
  ],
  "openalex": "W7223654916",
  "pdf_url": "https://arxiv.org/pdf/2610.31771",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7f4mp93tnvv33.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:19Z",
      "native_id": "2610.31771",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31771"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Relative Langlands duality for linear periods",
  "title_text": "Relative Langlands duality for linear periods",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:19Z",
  "url": "https://research.draconitic.com/paper/7f4mp93tnvv33",
  "venue": "arXiv",
  "versions": []
}