Stable Phase-Transition Table-of-Contents Entry

Definitions and mathematical statement

The supplied record contains only a table-of-contents entry, located at page 2144, for Joaquim Serra's talk, attributed as joint work with Hardy Chan, Alessio Figalli, and Xavier Fernández-Real, entitled Stable phase transitions: open questions and new results.

Mathematical statement unavailable. No equation, energy functional, domain, notion of stability, hypotheses, boundary conditions, quantifiers, or specific question is supplied. Consequently, neither mathematical definitions nor a precise conjecture or problem can be recovered from this entry without introducing unsupported information. The talk title alone does not identify a mathematical assertion.

The registry labels the entry open and its statement status unrecoverable. These are supplied curation labels; they do not establish the existence or current status of a particular open mathematical problem. The supplied verification note describes the extraction as a table-of-contents entry rather than a mathematical problem.

Short English statement

This record identifies a talk about stable phase transitions, but supplies no mathematical question to formalize. Recovering an actual problem requires additional source text. The supplied open label is a curation label, not an independently verified mathematical assessment.

Sources

• Supplied local UnsolvedMath registry record: permanent ID 30005989, source problem code catalogue entry, title Stable Phase-Transition Table-of-Contents Entry; collection: Oberwolfach Reports Open Problems.
• Supplied report citation: Calculus of Variations (2025), Oberwolfach Reports, DOI 10.4171/owr/2024/37, pp. 2113--2178. Source URL and supplied literature-source link, labeled "Oberwolfach source report": https://doi.org/10.4171/owr/2024/37. The extracted contents entry points to page 2144.
• Supplied attribution: Joaquim Serra, joint with Hardy Chan, Alessio Figalli, and Xavier Fernández-Real, Stable phase transitions: open questions and new results. This is talk attribution; the record supplies no problem proposer.
• Literature assessment dated exactly 2026-08-22: the supplied curation labels the entry open but explains that the extracted text is only a table-of-contents fragment, with no definite mathematical claim that can be verified or classified as solved. This is supplied dated curation, not independently verified here; time-sensitive status and cited claims require independent verification.
• The supplied statement-verification field reports that the official report confirms the extraction is only a table-of-contents entry. That verification claim is retained as supplied provenance, not as a claim that the report was consulted here. An authoritative report citation is supplied, but no authoritative mathematical problem statement is included.