Hecke eigensheaf explained

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]}

Notes and References

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