Seonglae ChoA Hecke eigensheaf is a specialized mathematical concept in algebraic geometry and number theory:
- Definition: A Sheaf whose value corresponds to an Eigenfunction under Hecke operators
- Preserves Eigenvalue relationships
- Fundamental in geometric Langlands program
The interpretation is that information structures (sheaves) on a space recursively manifest in their original form under certain operations
Hecke eigensheaf
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]
https://en.wikipedia.org/wiki/Hecke_eigensheaf