Relative-Langlands Contents Fragment

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record for permanent UnsolvedMath ID $30006311$, source code catalogue entry, contains a table-of-contents fragment rather than a mathematical assertion. Its initial word, "conjecture", is followed by a page reference to 847; the conjecture's preceding text is absent. The remaining text lists presentation topics and names. No mathematical objects, definitions, hypotheses, domains, quantifiers, boundary conditions, or conclusion can be recovered from this fragment. Consequently, no precise conjecture can be stated from the supplied evidence. In particular, the listed topics do not specify an intended mathematical claim.

The source marks the statement as unrecoverable and provides no clean statement. Its supplied verification note reports that the official report confirms the extraction is a contents fragment lacking the conjecture whose final word precedes it. This is a supplied source-verification claim, not an independent verification performed for this draft. The record retains the original fragment publicly for provenance.

The supplied status is open. The accompanying assessment explains that this label results from treating an unresolved extraction as open under a queue rule; it does not establish that an identifiable mathematical conjecture is open.

Short English statement

This record preserves a contents fragment from a 2025 report on relative Langlands duality. The conjecture itself is missing, so a precise mathematical statement cannot be supplied. The recorded "open" label reflects supplied curation of the unresolved extraction.

Sources

• Local registry: data/unsolvedmath/problems.json, permanent UnsolvedMath ID $30006311$, source code catalogue entry, title "Relative-Langlands Contents Fragment"; Oberwolfach Reports Open Problems collection. The supplied proposed year is 2025; no proposer is identified.
• Supplied report citation: Arbeitsgemeinschaft: Relative Langlands Duality (2025), Oberwolfach Reports, pp. 811--882, DOI 10.4171/owr/2025/18. Supplied source URL and literature source labeled "Oberwolfach report": https://doi.org/10.4171/owr/2025/18. The background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. The report citation supplies provenance, but the fragment supplies no identifiable conjecture or conjecture-specific attribution.
• Fragment contents, retaining the supplied order and omitting only dot leaders: "conjecture" (847); Kalyani Kansal, "Spherical varieties" (853); Dmitry Kubrak, "Hyperspherical varieties" (856); Shilin Lai, "Periods and L-functions" (860); Rok Gregoric, "Periods and L-sheaves" (863); Sam Gunningham, "Global Geometric Duality" (868); "Arbeitsgemeinschaft: Relative Langlands Duality Table of Contents". These contents entries do not identify an author of the missing conjecture.
• Supplied literature assessment checked at 2026-08-22: the extraction is a table-of-contents fragment without a mathematically identifiable claim and is classified as open because it remains unresolved under the queue rule. The listed source checked is the report linked above. This assessment is supplied dated curation, not independently verified; the supplied background calls for independent verification of time-sensitive status and cited claims.