OpenAI reports a Ricci-flow singularity with bounded scalar curvature

In sufficiently high dimension, a Ricci flow on a closed manifold reaches finite maximal time while scalar curvature remains uniformly bounded and full curvature diverges.

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Understanding the problem

Read the background

In sufficiently high dimension, a Ricci flow on a closed manifold reaches finite maximal time while scalar curvature remains uniformly bounded and full curvature diverges.

Why it matters

If correct, disproves the unrestricted all-dimensional scalar-curvature extension conjecture.

What counts as progress

Can a closed Ricci flow become singular while scalar curvature stays bounded?

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