# nLab Riemann-Hilbert correspondence

While Hilbert's 21st problem has a negative solution, there is a generalized sheaf-theoretical formulation which leads to an equivalence of categories discovered by Mebkhout and a bit later also by Kashiwara.

The most basic form of the Riemann–Hilbert correspondence states that the category of flat vector bundles is equivalent to the category of local systems.

Revised on July 20, 2010 21:52:11 by Toby Bartels (98.19.53.224)