OpenAI reports Verlinde fiber functors for finite symmetric tensor categories

Every finite symmetric tensor category over an algebraically closed field of positive characteristic has an exact faithful strong symmetric monoidal functor to some finite higher Verlinde category Ver_{p^n}(k).

Curated contributions 1

Understand the problem ↓

Understanding the problem

Read the background

Every finite symmetric tensor category over an algebraically closed field of positive characteristic has an exact faithful strong symmetric monoidal functor to some finite higher Verlinde category Ver_{p^n}(k).

Why it matters

If correct, proves the finite case of the Benson–Etingof–Ostrik conjecture.

What counts as progress

Does every finite symmetric tensor category in positive characteristic admit a higher-Verlinde fiber functor?

Website timeline

Publication dates and editorial changes.