MathIdeasResearch in progressRepository ↗
← Research catalogOriginal Markdown ↓
On this page

Block classification finiteness provenance

Family 203: Donovan's conjecture over fields and complete mixed-characteristic DVRs. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Representation researchers can organize bounded-defect Morita classes over fixed fields and separately mixed-characteristic DVRs.

Applicability and commercial boundary

Finiteness is not effective enumeration, and the base field/ring remains fixed. No small classification database follows without bounds.

Initial business decision

Research reference or conditional symbolic/verification engineering. No practical implementation, recurring buyer need or profitability has been demonstrated; a weak business bridge is explicitly deferred.

Next verification action

Inspect effective representative and bound construction before a software catalog.

Evidence scope

The catalog statement was individually reviewed. Main-paper proof, construction effectiveness and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Donovan's Conjecture over Algebraically Closed Fields.