nLab Hecke eigensheaf



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.


Relation to magnetic branes in super Yang-Mills theory

geometric Langlands correspondenceS-duality in N=4 D=4 super Yang-Mills theory
Hecke transformation't Hooft operator
local system/flat connectionelectric eigenbrane (eigenbrane of Wilson operator)
Hecke eigensheafmagnetic eigenbrane (eigenbrane of 't Hooft operator )

(Kapustin-Witten 06)


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