Workshop Contents Listing for Geometric Variational Analysis

Definitions and mathematical statement

The supplied record for permanent UnsolvedMath ID $30005203$, source code catalogue entry, contains a table-of-contents fragment rather than a mathematical problem. It begins with the isolated word "conjecture" and page number 2143, followed by several distinct workshop contribution titles and their authors. No conjecture, definition, mathematical assertion, or requested conclusion is actually stated.

Consequently, no precise mathematical statement can be recovered from the supplied evidence. The intended mathematical objects, domains, hypotheses, boundary conditions, and quantifiers are unspecified. The titles alone do not determine these data, and none of the listed contributions can be selected as the intended problem without additional evidence.

The supplied statement status is unrecoverable. Its verification note reports that the official report confirms the extraction to be a table-of-contents fragment and that no separate clean statement has been promoted; the original record is retained publicly for provenance. These are supplied curation claims, not independent verification here. The registry label "open" is accompanied by an assessment that resolution status is unclear because the extraction is not a well-posed problem; it does not establish an open mathematical conjecture.

Short English statement

Record $30005203$ preserves workshop contents, but supplies no recoverable mathematical problem. Its "open" label reflects supplied curation of an unclear extraction. A statement-only draft can therefore record the provenance and missing formulation, but cannot specify a conjecture without further source evidence.

Sources

• Local UnsolvedMath registry: data/unsolvedmath/problems.json, with catalog/problems.json as the additional-record registry; permanent ID $30005203$, exact source code catalogue entry. Supplied title: "Workshop Contents Listing for Geometric Variational Analysis"; collection: Oberwolfach Reports Open Problems. No individual problem proposer is supplied; the proposed-year field is 2022.
• Supplied report citation: Calculus of Variations (2023), Oberwolfach Reports, DOI 10.4171/owr/2022/37, pp. 2129--2193. Supplied source URL and literature-source link, labeled "original Oberwolfach report": https://doi.org/10.4171/owr/2022/37. This is a supplied report reference, but no authoritative statement of a specific mathematical problem is supplied.
• Supplied fragment: the isolated word "conjecture", followed by page 2143, has no recoverable associated assertion or attribution.
• Supplied contents attribution: Filip Rindler, joint with Paolo Bonicatto and Giacomo Del Nin, "Transport of currents", p. 2145.
• Supplied contents attribution: Luca Spolaor, joint with Guido De Philippis and Bozhidar Velichkov, "(Quasi)-conformal methods in some 2-dimensional free boundary problems", p. 2149.
• Supplied contents attribution: Xavier Lamy, joint with Elio Marconi, "Stability of the vortex in micromagnetics and related models", p. 2152.
• Supplied contents attribution: Daniel Faraco, joint with Kari Astala, André Guerra, Aleksis Koski, and Jan Kristensen, "Burkholder Functional, restricted quasiconvexity and Energy Integrands in NonLinear Elasticity", p. 2153.
• Supplied contents attribution: Dominik Stantejsky, joint with François Alouges and Antonin Chambolle, "Asymptotic limit of the Landau-de Gennes model for nematic liquid crystals around an inclusion", p. 2155.
• Supplied contents attribution: Andrew Colinet, joint with Stanley Alama and Lia Bronsard, "Zeroth order up to the boundary $\Gamma$-convergence for the Ginzburg-Landau energy", p. 2156.
• Supplied contents attribution: Michael Novack, joint with Francesco Maggi, "A mesoscale flatness criterion and its application to exterior isoperimetry", p. 2158.
• Supplied contents attribution: Hyunju Kwon, "Euler flows and strong Onsager conjecture", p. 2161.
• Supplied contents attribution: André Guerra, joint with Bogdan Raiţă and Matthew Schrecker, "Sobolev inequalities and quasiconcavity", p. 2161. These contents attributions identify contributions, not a proposer of the unidentified extracted problem.
• Supplied literature assessment, checked 2026-08-22: status "open", with resolution status explicitly described as unclear because the extracted statement is a table-of-contents fragment rather than a well-posed problem. The supplied list of sources checked names the original Oberwolfach report linked above. This is supplied dated curation, not independently verified here; the source expressly requests independent verification of time-sensitive status and cited claims.