Hecke eigensheaf
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Short description: 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.[1][2]
References
- ↑ "Proof of the geometric Langlands conjecture". Max Planck Institute for Mathematics. July 19, 2024. https://people.mpim-bonn.mpg.de/gaitsgde/GLC/Loc.pdf.
- ↑ "QUANTIZATION OF HITCHIN'S INTEGRABLE SYSTEM AND HECKE". University of Chicago. 1991. https://math.uchicago.edu/~drinfeld/langlands/QuantizationHitchin.pdf&ved=2ahUKEwjVmZTMqbmHAxXihIkEHYoFBSYQFnoECCIQAQ&usg=AOvVaw25SozJZRH1OXDFTDKC9pRy.
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