Workshop Contents Listing for Anabelian Geometry

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record contains a fragment of the table of contents for Anabelian Geometry and Representations of Fundamental Groups. It begins with the isolated entry "Conjecture" and page number 2627, followed by titles, contributors, and page numbers for several talks. No conjecture text, mathematical definitions, hypotheses, domains, boundary conditions, quantifiers, or conclusion are supplied. Consequently, no precise mathematical proposition can be reconstructed from this record.

The intended conjecture and its attribution are unresolved. The subsequent talk titles do not determine the content of the initial entry or identify a unique mathematical target. The record has no clean statement and explicitly labels its statement status as unrecoverable. Its supplied verification note says that the official report confirms a contents-listing fragment rather than a mathematical problem; that verification claim is retained as supplied provenance and has not been independently checked here.

The supplied classification open reflects the stated curation policy for unclear records. It does not establish that any identifiable conjecture in this fragment is mathematically open. A mathematical statement requires recovery of the intended passage and human review.

Short English statement

This record is a workshop contents fragment, so it does not specify a mathematical problem. The intended conjecture, assumptions, and attribution remain unknown. Its supplied "open" label is a dated curation classification; the statement itself is marked unrecoverable.

Sources

• Local UnsolvedMath registry, permanent ID 30006067, source code catalogue entry, title Workshop Contents Listing for Anabelian Geometry, in the collection Oberwolfach Reports Open Problems. No proposer is supplied. The proposed year field is 2024.
• Supplied report citation: Anabelian Geometry and Representations of Fundamental Groups (2025), Oberwolfach Reports, DOI 10.4171/owr/2024/45, pp. 2621--2670. Supplied source URL and literature source, labeled "Oberwolfach Report 45/2024": https://doi.org/10.4171/owr/2024/45. This is a report-level reference; the supplied extract provides no recoverable authoritative statement of a particular conjecture.
• Contents-fragment attribution, preserved without assigning any listed contributor as proposer of the unidentified conjecture: "Conjecture," p. 2627; Wieslawa Niziol, jointly with Pierre Colmez and Sally Gilles, Geometric duality for $p$-adic pro-étale cohomology of analytic varieties, p. 2630; Daniel Litt, jointly with Yeuk Hay Joshua Lam, On the converse to Eisenstein's last theorem, p. 2632; Giulio Bresciani, The section conjecture for the toric fundamental group, p. 2635; Emanuel Reinecke, jointly with Shizhang Li and Bogdan Zavyalov, Relative mod-$n$ Poincaré duality in nonarchimedean geometry, p. 2636; Nadav Gropper, Mapping class group and Dehn twists of $p$-adic fields, p. 2639; Piotr Achinger, jointly with Katharina Hübner, Marcin Lara, and Jakob Stix, Tame fundamental groups of rigid spaces, p. 2641; Martin Lüdtke, jointly with L. Alexander Betts and Theresa Kumpitsch, Non-abelian Chabauty and the Selmer Section Conjecture, p. 2645; Koji Shimizu, jointly with Heng Du, Tong Liu, and Yong Suk Moon, Log prismatic $F$-crystals and purity, p. 2648; Yohan Brunebarbe, jointly with Benjamin Bakker and Jacob Tsimerman, Constructing holomorphic functions on universal covers of complex algebraic varieties, p. 2651; Catrin Mair, jointly with Peter Haine, Tim Holzschuh, Marcin Lara, Louis Martini, and Sebastian Wolf, Condensed Shape of a Scheme, p. 2652; Martin Olsson, jointly with A.J. de Jong, Point objects on abelian varieties, p. 2655; Alexander Petrov, jointly with Lue Pan, Characteristic classes of étale local systems, p. 2656.
• Supplied literature assessment, checked at 2026-08-22: the extraction is a table-of-contents fragment beginning with "Conjecture," contains no recoverable proposition to verify, and is classified as open under the stated treatment of unclear records. This is supplied dated curation derived from the OWR record, not an independently verified literature assessment. The background explicitly calls for independent verification of time-sensitive status and cited claims.