Log-Concavity of Flats of Matroids
Refuting log-concavity of the flat counts is weaker than refuting their unimodality, since log-concavity is the stronger property. A counterexample to unimodality followed three weeks later and is tracked separately as Rota's Unimodality Conjecture for Matroid Flats; this paper came first.
Exact FrontierDelta
Scope and record
Occurred: Oct 29, 2026
Delta type: REGISTRY REVISION
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. VibeMathed editorial classifications, scores, notes, relations, and dataset structure are CC BY 4.0. Source statements and linked content retain their own rights.
Canonical aliases: Log-Concavity of Flats of Matroids · Mason flat log-concavity
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
ChatGPT-5.5 Pro
model · ai model contributor · OpenAI
Claude Opus 4.8
model · ai model contributor · Anthropic
Matt Larson
human · human collaborator
Lineage and corrections
Corrects Log-Concavity of Flats of Matroids →
Supersedes Log-Concavity of Flats of Matroids →
This event attributed to ChatGPT-5.5 Pro
This event attributed to Matt Larson
Log-Concavity of Flats of Matroids parent of this event
White's Conjecture on Matroids evidence for this event
VibeMathed record: Log-Concavity of Flats of Matroids evidence for this event
Refuting log-concavity of the flat counts is weaker than refuting their unimodality, since log-concavity is the stronger property. A counterexample to unimodality followed three weeks later and is tracked separately as Rota's Unimodality Conjecture for Matroid Flats; this paper came first. parent of this event
GPT-5.5 Chat Log evidence for this event
This event attributed to Claude Opus 4.8
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