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Birkhoff conjecture

Source placement record

Birkhoff conjecture – if a billiard table is strictly convex and integrable, is its boundary necessarily an ellipse?

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Source status
Open
Field
Dynamical systems
Record type
Revision-pinned source placement
Verification
Source-index reviewed
Source grade
secondary
Reviewed
2026-07-27T18:04:33.834Z

Context and review boundary

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Formal boundary

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Known approaches and partial results

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Source trail

  1. Wikipedia list subsection — Exact Dynamical systems subsection in the revision-pinned source.
  2. Wikipedia topic article — Background article linked by the source index; follow its references for deeper study.
  3. Pinned source revision 1366281547 — Revision-pinned snapshot from 7/27/2026.