Corrupted Non-Archimedean-Geometry Contents Fragment

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record contains a damaged table-of-contents fragment, beginning with an unattached entry "Conjecture" pointing to page 1525, followed by talk titles, contributor names, page references, and a provenance sentence. It supplies no identifiable conjecture, mathematical assertion, definitions, hypotheses, domains, boundary conditions, or quantifiers. Consequently, a precise mathematical statement cannot be recovered from this evidence. None of the listed talk titles can be selected as the intended problem without additional evidence.

The supplied registry marks the statement as unrecoverable and provides no clean statement. Its verification note reports that the official report confirms the extraction is a damaged contents listing rather than a mathematical problem; this is a supplied verification claim, not an independent verification performed here. The registry's open label reflects its unresolved-claim classification rule and does not establish that any particular mathematical conjecture is open. No replacement conjecture is formulated.

Short English statement

This record preserves a corrupted contents listing from a 2025 Oberwolfach report. It does not identify a mathematical problem that can be stated precisely. The supplied open label is a curation classification; the intended claim and its mathematical status remain unidentified.

Sources

• Supplied local UnsolvedMath registry record, permanent ID 30006332, exact source problem code catalogue entry, title "Corrupted Non-Archimedean-Geometry Contents Fragment," in the collection "Oberwolfach Reports Open Problems." The supplied proposed year is 2025; no proposer is specified. The record retains the original extraction for provenance and supplies no clean replacement statement.
• Supplied report citation: Non-Archimedean Geometry and Applications (2025), Oberwolfach Reports, pp. 1517--1578, DOI 10.4171/owr/2025/29. The source URL and the literature-source link labelled "OWR report" are both https://doi.org/10.4171/owr/2025/29. This authoritative report citation is supplied, but the record does not identify a recoverable problem within it.
• Supplied dated literature curation, checked 2026-08-22: status "open." Its assessment says that the extraction is a table-of-contents fragment followed by meeting prose, identifies no mathematical claim, and is classified as open under the unresolved-claim rule. This assessment is supplied dated curation, not independently verified. The background explicitly requires independent verification of time-sensitive status and cited claims.
• The fragment begins with "Conjecture," p. 1525, without a recoverable title, author, or statement.
• Contents attribution: Lucas Gerth, "Moduli spaces of analytic $p$-divisible groups," p. 1528.
• Contents attribution: Hélène Esnault, joint with Mark Kisin and Alexander Petrov, in progress, "On the vanishing in cohomology of the restriction map to the generic point," p. 1530.
• Contents attribution: Ferdinand Wagner, "$q$-Hodge filtrations & Habiro cohomology," p. 1534.
• Contents attribution: Juan Esteban Rodríguez Camargo, joint with Johannes Anschütz, Guido Bosco, Arthur-César Le Bras, and Peter Scholze, "D-modules on arc-stacks," p. 1537.
• Contents attribution: Toby Gee, joint with George Boxer, Frank Calegari, and Vincent Pilloni, "Modularity lifting theorems for abelian surfaces," p. 1542.
• Contents attribution: Thibaud van den Hove, "Motivic Satake for ramified groups," p. 1544.
• Contents attribution: Walter Gubler, joint with Joe Rabinoff, "Psh and pluriharmonic functions on Berkovich spaces," p. 1547.
• Contents attribution: Alberto Vezzani, joint with Fabrizio Andreatta and Federico Binda, in progress, "Relative Hyodo--Kato cohomology," p. 1549.
• Contents attribution: Mattias Jonsson, joint with Sébastien Boucksom, "Non-Archimedean methods in complex geometry," p. 1553.
• Contents attribution: Gabriel Dospinescu, joint with Pierre Colmez, Wieslawa Niziol, and Juan Esteban Rodriguez Camargo, "Completed cohomology of the Drinfeld tower for $\mathrm{GL}_{2}({\mathbb{Q}}_p)$," p. 1556. The group notation is typeset from the fragment's extracted text "GL2 (Qp )"; no mathematical assertion is inferred from this title.
• Contents attribution: Eva Viehmann, joint with Torsten Wedhorn, "Moduli of truncated local $G$-shtukas," p. 1560.
• Contents attribution: Katharina Hübner, joint with Piotr Achinger, Marcin Lara, and Jakob Stix, "The tame fundamental group of a rigid space," p. 1561. These contents attributions do not establish authorship of an intended problem.