nLab Hecke eigensheaf

Redirected from "Hecke eigensheaves".

Idea

A Hecke eigensheaf is an object that is taken to a tensor-multiple of itself under the integral transform induced by a Hecke correspondence.

Hecke eigensheaves play a central role in the geometric Langlands correspondence.

geometric Langlands correspondence	S-duality in N=4 D=4 super Yang-Mills theory
Hecke transformation	't Hooft operator
local system/flat connection	electric eigenbrane (eigenbrane of Wilson operator)
Hecke eigensheaf	magnetic eigenbrane (eigenbrane of 't Hooft operator )

Edward Frenkel, section 3.8 in Lectures on the Langlands Program and Conformal Field Theory (arXiv:hep-th/0512172)

Created on July 2, 2014 at 11:04:05. See the history of this page for a list of all contributions to it.