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The symmetric Mahler conjecture

Special dimensions and classes of convex bodies do not establish the all-dimensional symmetric volume-product minimum.

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Understand the problem ↓

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Understanding the problem

Read the background

Special dimensions and classes of convex bodies do not establish the all-dimensional symmetric volume-product minimum. The target also includes a complete equality classification.

Origin symmetry is essential to this statement. The general nonsymmetric Mahler manuscript and the symplectic companion are distinct claims, not counted again in this entry.

Why it matters

If correct, determines the stated all-dimensional symmetric minimum and its equality cases.

What counts as progress

A sourced resolution or substantial advance on the precise target, with hypotheses, prior context, and verification evidence stated separately.

What to watch for

  • Assess the precise statement and assumptions before comparing results.
  • Origin symmetry is essential to this statement. The general nonsymmetric Mahler manuscript and the symplectic companion are distinct claims, not counted again in this entry.
  • Track independent assessments, dependencies, corrections, and withdrawals separately from importance.

Background review: 2026-10-11. Selected sources:

Website timeline

Publication dates and editorial changes.