Channel-Divergence Discussion

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record contains only the transition: "After presenting some results on channel divergences, we discuss briefly some open questions of relevance to the workshop." This sentence announces a discussion but states no mathematical question.

No definition of a channel or channel divergence, underlying domain, hypotheses, boundary conditions, quantifiers, or conjectured conclusion is supplied. Consequently, no standalone mathematical problem or associated definitions can be reconstructed from this record without inventing content. In particular, the reference to channel divergences does not determine a specific divergence functional or a class of channels.

The supplied registry marks the statement as unrecoverable. Its statement-verification field reports that the official report mentions a discussion of open questions without stating a reconstructible standalone question; that report-based assertion is supplied metadata and has not been independently verified here. The registry label open records the supplied curation decision for this incomplete entry, rather than a verified open status for a specified mathematical proposition.

Short English statement

This entry announces open questions about channel divergences but supplies none of the questions. A precise mathematical statement requires additional source material identifying the intended question, definitions, assumptions, and quantifiers. The supplied open label does not establish the status of any particular conjecture.

Sources

• Supplied local UnsolvedMath registry record: permanent ID $30005726$, title "Channel-Divergence Discussion," exact source code catalogue entry, in the collection "Oberwolfach Reports Open Problems." No individual proposer is supplied.
• Supplied report citation: Mini-Workshop: Standard Subspaces in Quantum Field Theory and Representation Theory (2024), Oberwolfach Reports, pp. 2851--2901, DOI 10.4171/owr/2023/50. https://doi.org/10.4171/owr/2023/50. The extracted statement ends with the report-title text and page number $2893$. The registry separately records proposed year $2023$ and the tag owr-year:2023; their relationship to the citation's year $2024$ is unresolved.
• Supplied literature reference: Hollands--Ranallo, Channel Divergences and Complexity in Algebraic QFT. https://doi.org/10.1007/s00220-023-04855-x. This attribution belongs to the cited work; the record does not identify its authors as proposers of a particular question in this entry.
• Supplied literature reference labelled "original Oberwolfach report": https://doi.org/10.4171/owr/2023/50.
• Supplied literature assessment, checked 2026-08-22: the record is a transition announcing open channel-divergence questions, with no standalone question whose resolution can be verified; the supplied curation therefore retains the label open under its stated rule. This is supplied dated curation derived from the OWR material, not an independently verified literature assessment. The supplied background requests independent verification of time-sensitive status and cited claims.