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Hecke eigensheaf

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Any sheaf whose value is based on an eigenfunction
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In mathematics, a Hecke eigensheaf is any sheaf whose value is based on an eigenfunction. It is an object that is a tensor-multiple of itself when formed under the integral transform of a Hecke correspondence. Hecke eigensheaves are part of the geometric Langlands correspondence.

References

  1. "Proof of the geometric Langlands conjecture" (PDF). Max Planck Institute for Mathematics. July 19, 2024.
  2. "QUANTIZATION OF HITCHIN'S INTEGRABLE SYSTEM AND HECKE". University of Chicago. 1991.
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