Equivariant Homotopy-Theory Table-of-Contents Fragment

Definitions and mathematical statement

Unrecoverable mathematical statement. The supplied record for permanent catalogue entry, source code catalogue entry, contains a table-of-contents fragment rather than a mathematical problem. It begins with the isolated word "conjecture" and a page reference to 1897, followed by several separately attributed talk titles. The preceding title and its attribution are absent. None of the listed talks is identified as the intended target of this record.

Consequently, no mathematical objects, definitions, hypotheses, domains, boundary conditions, quantifiers, or conjectural conclusion can be recovered from the supplied passage. In particular, the occurrence of the title "The telescope conjecture" does not establish that this record asks for a formulation of that conjecture. Supplying a mathematical statement would require additional source text identifying the intended problem.

The supplied registry marks the statement as unrecoverable, while retaining the status label open. That label is supplied curation, not a verified assertion that an identifiable conjecture remains open. The supplied verification field reports that the official report confirms the extraction to be a table-of-contents fragment; this draft does not independently verify that report.

Short English statement

The supplied text lists talks and contributors but does not state an identifiable mathematical problem. A precise statement requires the missing problem passage and its attribution; the registry's supplied open label cannot resolve this omission.

Sources

• Local UnsolvedMath registry, permanent ID 30005671, source code catalogue entry, title "Equivariant Homotopy-Theory Table-of-Contents Fragment." The supplied record has no named problem proposer and records proposed year 2023.
• Supplied report citation: Homotopy Theory (2024), Oberwolfach Reports, DOI 10.4171/owr/2023/34, pp. 1893--1952. Supplied source link: https://doi.org/10.4171/owr/2023/34. This is report-level provenance; the supplied passage does not provide an authoritative statement of an identifiable problem. The citation's 2024 designation and the record's proposed year 2023 are retained without reconciliation.
• Supplied literature source, labeled "OWR Homotopy Theory report": https://doi.org/10.4171/OWR/2023/34. Literature checked at: 2026-08-22. This assessment is supplied dated curation, not independently verified. It labels the record open but states that the extracted table-of-contents fragment contains no identifiable mathematical claim to verify. The background explicitly calls for independent verification of time-sensitive status and cited claims.
• Fragment opening: "conjecture," p. 1897; its preceding title and attribution are missing.
• Table-of-contents attribution: Shachar Carmeli, joint with Shay Ben-Moshe, Tomer Schlank, and Lior Yanovski, "Cyclotomic Redshift," p. 1902.
• Table-of-contents attribution: Mona Merling, joint with Tom Gooodwillie, Kiyoshi Igusa, and Cary Malkiewich, "Moduli spaces of equivariant h-cobordisms," p. 1903. The spelling "Gooodwillie" is retained from the supplied extraction.
• Table-of-contents attribution: Lennart Meier, joint with Markus Hausmann, "Invariant prime ideals in the equivariant Lazard ring," p. 1906.
• Table-of-contents attribution: Natàlia Castellana Vila, joint with Tobias Barthel, Drew Heard, Niko Naumann, and Luca Pol, "Quillen stratification in equivariant homotopy theory," p. 1909.
• Table-of-contents attribution: Kyle Ormsby, joint with Linus Bao, Christy Hazel, Tia Karkos, Alice Kessler, Austin Nicolas, Jeremie Park, Cait Schleff, and Scotty Tilton, "N\textbackslash infty operads, transfer systems, and the combinatorics of bi-incomplete Tambara functors," p. 1912. The initial notation is reproduced as extracted, without interpreting its typography.
• Table-of-contents attribution: Foling Zou, joint with Prasit Bhattacharya, "Equivariant orientations of bundles over disconnected G-spaces," p. 1917.
• Table-of-contents attribution: XiaoLin Danny Shi, joint with Lennart Meier and Mingcong Zeng, "Transchromatic phenomena in the equivariant slice spectral sequence," p. 1917.
• Table-of-contents attribution: Robert Burklund, joint with Jeremy Hahn, Ishan Levy, and Tomer Schlank, "The telescope conjecture," p. 1917.
• Table-of-contents attribution: Maxime Ramzi, "Separability in homotopical algebra," p. 1918.
• Table-of-contents attribution: Niko Naumann, joint with Luca Pol, "Separable commutative algebras and Galois theory in stable homotopy theories," p. 1919.
• Table-of-contents attribution: Anna Marie Bohmann, joint with Teena Gerhardt, Cary Malkiewich, Mona Merling, and Inna Zakharevich, "Scissors congruence K-theory and traces," p. 1920.
• Table-of-contents attribution: Achim Krause, joint with Jesper Grodal, "Integral endotrivial modules," p. 1922. These contributor lists attribute the extracted talks, not an identified problem associated with this permanent ID.