Who is the XXX named after?
Hodge theory
In mathematics, Hodge theory, named after W. V. D. Hodge, is one aspect of the study of differential forms of a smooth manifold M. More specifically, it works out the consequences for the cohomology groups of M, with real coefficients, of the partial differential equation theory of generalised Laplacian operators associated to a Riemannian metric on M. It was developed by Hodge in the 1930s as an extension of de Rham cohomology, and has major applications on three levels:
W. V. D. Hodge