Equivariant Homotopy-Theory Workshop Abstract

Definitions and mathematical statement

The supplied record contains no recoverable mathematical problem statement. Its extracted passage is a workshop abstract, so it provides no mathematical objects to define, hypotheses, domains, boundary conditions, quantifiers, or conclusion from which a precise conjecture or question can be reconstructed.

The abstract describes a workshop covering chromatic homotopy theory, algebraic $K$-theory, derived algebra, and equivariant homotopy theory. It reports a lecture series on the recent disproof of the telescope conjecture, 24 research talks, and two gong-shows featuring 10-minute presentations. These are contextual reports, not a formulation of the telescope conjecture or a separate open problem.

The supplied statement status is unrecoverable. The supplied verification field says that the official report confirms that the extraction is a workshop abstract containing no standalone open problem; this verification claim has not been independently checked here. The registry nevertheless labels the entry open. That label does not establish an open mathematical question, and no replacement problem is inferred.

Short English statement

This entry records a homotopy theory workshop abstract rather than a mathematical question. Its mention of a disproof of the telescope conjecture supplies context but no precise formulation. A statement cannot be reconstructed without additional source evidence.

Sources

• Local UnsolvedMath registry, supplied source record for permanent ID $30005670$, source code catalogue entry, titled "Equivariant Homotopy-Theory Workshop Abstract," in the Oberwolfach Reports Open Problems collection. The record lists proposed year 2023 and supplies no proposer attribution.
• Supplied source citation: Homotopy Theory (2024), Oberwolfach Reports, DOI 10.4171/owr/2023/34, pp. 1893--1952. Supplied source URL: https://doi.org/10.4171/owr/2023/34. The citation's 2024 label and the record's 2023 year are retained without resolving their relationship.
• Supplied literature source: "OWR Homotopy Theory report," https://doi.org/10.4171/OWR/2023/34.
• Supplied literature source: "K-theoretic counterexamples to Ravenel's telescope conjecture," https://arxiv.org/abs/2310.17459. No author attribution is supplied in this record.
• Literature assessment dated exactly 2026-08-22: the extracted text is a report abstract describing the recent disproof of the telescope conjecture, not a separate mathematical problem statement. The accompanying status is open. This is supplied dated curation derived from the OWR record, not an independently verified literature assessment; time-sensitive status and cited claims require independent verification.