Representation-Theory Table-of-Contents Fragment

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record for permanent catalogue entry, source code catalogue entry, contains a table-of-contents fragment from Representations of Finite Groups (2023). It provides talk titles, contributor names, and page numbers, but no mathematical assertion with specified hypotheses and conclusion. Consequently, no definitions, domains, quantifiers, boundary conditions, or conjecture can be recovered precisely from this evidence.

The fragment begins with the isolated word "conjecture" followed by page 1043. The preceding title and its attribution are missing. The subsequent entries concern several distinct representation-theoretic subjects; their titles do not determine a unique intended problem. In particular, the mention of Thompson's conjecture in one title does not establish that it is the target of this record.

The supplied record labels the item open, while also assigning statement_status: unrecoverable. Its supplied statement-verification note says that the official report confirms a table-of-contents extraction rather than a standalone open problem. This note is recorded as supplied source verification and has not been independently checked. The supplied dated literature assessment describes a truncated fragment ending at a conjecture; the actual supplied text instead begins with an isolated occurrence of "conjecture" and continues through contents entries. Neither description supplies a conjecture statement. A precise mathematical formulation therefore remains unresolved.

Short English statement

This record contains a representation-theory table of contents, with no recoverable problem statement. Its supplied open label is a curation label, not verification of an identifiable open conjecture. Human review of the underlying report is needed to identify any intended mathematical target.

Sources

• Local UnsolvedMath registry, data/unsolvedmath/problems.json: permanent ID 30005500; exact source code catalogue entry; title: Representation-Theory Table-of-Contents Fragment. The supplied record belongs to the Oberwolfach Reports Open Problems collection, records proposed year 2023, and supplies no problem proposer.
• Supplied report citation: Representations of Finite Groups (2023), Oberwolfach Reports, DOI 10.4171/owr/2023/19, pp. 1031--1084. Supplied source URL and literature-source link, labelled "Oberwolfach Report 19/2023": https://doi.org/10.4171/owr/2023/19. This is a supplied authoritative report reference; the supplied excerpt contains no identifiable standalone problem statement.
• Supplied contents attribution: Shigeo Koshitani, joint with Caroline Lassueur and Benjamin Sambale, Splendid Morita equivalences for principal 2-blocks with wreathed defect groups, p. 1044.
• Supplied contents attribution: Jonas Hetz, On the generalised Springer correspondence, p. 1045.
• Supplied contents attribution: George Lusztig, Unipotent character sheaves and strata of a reductive group, p. 1046.
• Supplied contents attribution: Caroline Lassueur, joint with Gerhard Hiß, On the source-algebra equivalence class of a block with cyclic defect groups, p. 1046.
• Supplied contents attribution: Cédric Bonnafé, joint with M. Broué, O. Dudas, J. Michel, and R. Rouquier, Braid group action on the cohomology of Deligne-Lusztig varieties, p. 1048.
• Supplied contents attribution: Pham Huu Tiep, Character bounds for finite groups of Lie type and Thompson's conjecture, p. 1049.
• Supplied contents attribution: Lucas Ruhstorfer, joint with Julian Brough, The inductive Alperin--McKay condition for groups of Lie type B and C, p. 1053.
• Supplied contents attribution: Matt Fayers, The Mullineux map, p. 1054.
• Supplied contents attribution: Benjamin Sambale, Local determination of Frobenius--Schur indicators, p. 1055.
• Supplied contents attribution: Dave Benson, Modules with finitely generated cohomology, p. 1057.
• Supplied contents attribution: Jesper Grodal, joint with Anssi Lahtinen, Cohomology of finite groups of Lie type and loop groups, p. 1059. These contributor attributions concern contents entries and do not identify a proposer for this registry item. The initial isolated "conjecture" is associated with p. 1043 but has no recoverable title or author in the supplied fragment.
• Supplied literature assessment, checked at 2026-08-22: status open. The supplied rationale describes a truncated report fragment ending at a conjecture, with no identified theorem or settled claim, and assigns open status under its curation rule. This is supplied dated curation, not independently verified literature assessment. The background expressly requests independent verification of time-sensitive status and cited claims.
• Supplied statement-verification note: the official report confirms that this extraction is a table-of-contents fragment, not a standalone open problem. This verification claim is supplied, not independently checked here. The record's update timestamp is 2026-09-16T12:06:53Z; no separate verification date is provided.