Unspecified Geometric Representation Theory Conjecture

Definitions and mathematical statement

Unrecoverable statement. The supplied record for permanent UnsolvedMath ID $30005084$ contains a table-of-contents fragment, not a standalone mathematical assertion. No mathematical objects, hypotheses, domains, boundary conditions, quantifiers, or conclusion are specified sufficiently to formulate a conjecture. Consequently, no precise mathematical statement or associated definitions can be recovered from the supplied evidence.

For provenance, the fragment has the following sequence, with dotted leaders omitted:

Conjecture, p. 950; Shane Kelly; Combinatorial Origins of Geometric Satake, p. 953; Leonardo Patimo; Geometric Satake and Finkelberg--Mirković, p. 954; Tom Gannon; Torsion Explosion, p. 957; Bregje Pauwels; On Tilting Characters, p. 959; Jonathan Gruber; The Categorical Conjecture, p. 963; Valentin Gouttard; An Iwahori--Whittaker presentation of the Satake Category, p. 964.

The sequence does not establish which entry, if any, is the intended problem. The listed names are retained as source context; no proposer or conjecture attribution is inferred.

The registry labels the record open, but also assigns statement status unrecoverable, supplies no clean statement, and reports that the official report contains only a table-of-contents fragment at this extraction. These are supplied curation claims, not independently verified mathematical facts. In particular, the open label does not establish that any identifiable conjecture remains unresolved.

Short English statement

Permanent UnsolvedMath ID $30005084$ preserves a table-of-contents fragment concerning geometric representation theory. It supplies no identifiable conjecture or sufficient hypotheses for a precise mathematical statement. Recovering the intended passage and checking its attribution require human review; the supplied open label is unverified.

Sources

• Local UnsolvedMath registry: data/unsolvedmath/problems.json, permanent ID $30005084$, source code catalogue entry, title Unspecified Geometric Representation Theory Conjecture; collection: Oberwolfach Reports Open Problems. This draft uses the supplied complete record, without independently inspecting the registry file.
• Supplied report citation: Arbeitsgemeinschaft: Geometric Representation Theory (2023), Oberwolfach Reports, pp. 929--978, DOI 10.4171/owr/2022/18. Supplied source URL and literature reference, labeled "Oberwolfach Report 2022/18": https://doi.org/10.4171/owr/2022/18. The record describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. The report is cited as provenance; no precise conjecture passage is supplied.
• Supplied literature assessment, checked 2026-08-22: status open; the extracted text is only a table-of-contents fragment and identifies no mathematical conjecture or assessable claim. This is supplied dated curation, not an independently verified literature assessment. Its time-sensitive status and cited claims require independent verification.
• The supplied statement-verification note reports that the official report provides no recoverable standalone conjecture for this extraction, that no separate clean statement is promoted, and that the original record remains publicly visible for provenance. This verification note is supplied evidence, not a claim that the report was visited for this draft. No proposer is supplied; the proposed-year field is $2022$.