Functional Inequalities Workshop Contents Fragment

Definitions and mathematical statement

The supplied record for permanent UnsolvedMath ID $30006504$, source code catalogue entry, is titled "Functional Inequalities Workshop Contents Fragment." Its statement consists of a damaged table-of-contents passage beginning with the isolated word "conjecture" and page number $2931$, followed by several distinct contributions.

No identifiable mathematical assertion can be recovered from this passage. It supplies no definitions, hypotheses, quantified variables, domains, boundary conditions, or conclusion for the purported conjecture. In particular, the contribution titles do not determine an isoperimetric inequality, comparison theorem, packing bound, distance bound, heat-flow problem, homogenization assertion, or random-walk assertion to formalize. No mathematical statement is therefore asserted in this draft.

The registry labels the record "open," while its statement status is "unrecoverable" and its clean statement is absent. These are supplied curation labels, not verified mathematical conclusions. The supplied statement-verification note reports that the official report confirms a damaged table-of-contents extraction rather than a mathematical conjecture, and that no separate clean statement is promoted; the original record is retained publicly for provenance. That verification claim has not been independently checked here.

Short English statement

Record $30006504$ contains a damaged workshop contents fragment, so a precise mathematical problem cannot be reconstructed. The supplied "open" label does not identify a conjecture. Recovering the intended statement and its hypotheses requires human source review.

Sources

• Local UnsolvedMath registry: permanent ID $30006504$, source code catalogue entry, title "Functional Inequalities Workshop Contents Fragment," in the "Oberwolfach Reports Open Problems" collection. The supplied proposed year is $2025$; no proposer is identified.
• Supplied source citation: Functional Inequalities: Geometric Calculus meets Stochastic Analysis (2026), Oberwolfach Reports, DOI 10.4171/owr/2025/54, pp. 2917--2994. Source URL and supplied literature-source link, labeled "Oberwolfach Report 2025/54": https://doi.org/10.4171/owr/2025/54. The background describes Oberwolfach Reports as documenting mathematical workshops and their open-problem discussions. This citation establishes supplied provenance; it does not supply an identifiable conjecture in the extracted text.
• The retained fragment begins with "conjecture" and p. 2931, without its associated title, author, or statement. It then lists Patricia Alonso Ruiz, joint with Fabrice Baudoin, "An isoperimetric inequality for (fractal) spaces with different micro- and macrostructure," p. 2934; Fabrice Baudoin, "Sub-Laplacian comparison theorems on Riemannian foliations with minimal leaves and applications," p. 2936; and Boaz Klartag, "Lattice packing of spheres in high dimensions using a stochastically evolving ellipsoid," p. 2937.
• Further fragment attributions: Pierre Bizeul, joint with Boaz Klartag, "Distance between non-symmetric bodies: optimal bounds up to polylog," p. 2941; Marie Bormann, joint with Léonard Monsaingeon, Michiel Renger, Max von Renesse, and Feng-Yu Wang, "Heat flow with Wentzell boundary condition: Functional inequalities and gradient flow structure," p. 2944; and Gilles Carron, joint with Ilaria Mondello and David Tewodrose, "Examples of Kato's limits," p. 2946.
• Remaining fragment attributions: Takashi Kumagai, joint with Xin Chen, Zhen-Qing Chen, and Jian Wang, "Periodic and Stochastic Quantitative Homogenization for Non-Local Operators," p. 2950; Laurent Saloff-Coste, joint with Z-Q. Chen, T. Kumagai, J. Wang, R. Zhang, and T. Zheng, "Long range random walks on groups with polynomial volume growth," p. 2953. These are contents-entry attributions, not an attribution of the unidentified conjecture.
• Supplied literature assessment checked at the exact date 2026-08-22: status "open"; assessment that the exact record is an OCR table-of-contents fragment and contains no identifiable mathematical claim whose truth can be verified. The background lists the same report as its source checked. This is supplied dated curation, not an independently verified literature assessment or a claim that the source was visited here. The supplied background requests independent verification of time-sensitive status and cited claims.