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Hecke eigensheaf

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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.[1][2]

References

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  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.