Source authenticated

Rota's Unimodality Conjecture for Matroid Flats

Is the sequence $W_0, W_1, \dots, W_n$ counting the flats of each rank of a matroid always unimodal? Rota conjectured yes in 1970.

Exact FrontierDelta

Prior state unknown→disproved

Scope and record

Occurred: Jul 24, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.

Canonical aliases: Rota's Unimodality Conjecture for Matroid Flats · Rota flat unimodality

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

Attribution

VibeMathed
registry · event recorded by

Alexander Divoux
human · human collaborator

Chayim Lowen
human · human collaborator

Shouda Wang
human · human collaborator

ChatGPT-5.6 Pro
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Shouda Wang

This event attributed to Chayim Lowen

This event attributed to Alexander Divoux

This event attributed to ChatGPT-5.6 Pro

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