Algebraic-Groups Contents Fragment

Definitions and mathematical statement

For permanent UnsolvedMath ID $30006250$, source code catalogue entry, no precise mathematical statement or associated definitions can be recovered from the supplied record. The extraction begins with the isolated word "conjecture" followed by a reference to page 961 and continues with table-of-contents entries for several talks. It supplies no identifiable conjecture, mathematical assertion, hypotheses, domains, boundary conditions, or quantifiers.

The supplied record marks the statement as unrecoverable. Its statement-verification field reports that the official report confirms the extraction to be a table-of-contents fragment spanning unrelated talks, and that no separate clean statement is promoted. This is a supplied verification assessment, not an independent verification performed for this draft. The original fragment remains retained for provenance.

The registry labels the entry "open" and gives 2025 as the proposed year, but identifies no proposer. The supplied open label cannot establish the status of an unidentified mathematical problem. The neighboring talk titles do not determine which conjecture, if any, was intended, and their mathematical terminology cannot be promoted into definitions or a conjectural assertion without additional evidence.

Short English statement

This record preserves an incomplete table-of-contents extraction from an Oberwolfach report. It does not identify a mathematical problem, so a precise statement requires recovery of the intended passage. The supplied "open" label and verification assessment remain attributed registry information.

Sources

• Local UnsolvedMath registry, permanent ID $30006250$, source code catalogue entry, title "Algebraic-Groups Contents Fragment," in the collection "Oberwolfach Reports Open Problems." The supplied statement and original statement contain the same contents fragment; the clean statement is absent. No proposer is identified.
• Supplied report citation: Algebraic Groups (2025), Oberwolfach Reports, pp. 941--1010, DOI 10.4171/owr/2025/20. Supplied source URL: https://doi.org/10.4171/owr/2025/20. The background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. This report citation supplies provenance, but the record supplies no authoritative statement of the intended conjecture.
• Context retained from the extraction: an unidentified "conjecture," p. 961; Hanspeter Kraft, "Automorphism Groups of Varieties -- A Survey," p. 962; Shrawan Kumar, "Alternating sign behavior for the product structure in $T$-equivariant quantum $K$-theory of flag varieties," p. 972; Anna Lachowska, joint with Qi You, Nicolas Hemelsoet, and Oskar Kivinen, "Center of the small quantum group: towards a combinatorial model," p. 972; Shang Li, "Wonderful Embedding for group schemes in Bruhat--Tits theory," p. 975; João Lourenço, joint with Pramod Achar, Timo Richarz, and Simon Riche, "Modular ramified geometric Satake equivalence," p. 978. These are contextual contents entries, not established attribution of the unidentified conjecture.
• Supplied literature source, labeled "original OWR report": https://doi.org/10.4171/OWR/2025/20. The literature assessment was checked on 2026-08-22, according to the supplied dated curation, and labels the record "open." Its assessment states that the truncated table-of-contents extraction does not identify the conjecture to be checked. This dated literature triage and its source-checking claims have not been independently verified here; the supplied background calls for independent verification of time-sensitive status and cited claims.