Differential Isomorphism and Equivalence of Algebraic Varieties
arXiv:math/0304320
Abstract
In this survey article we discuss the question: to what extent is an algebraic variety determined by its ring of differential operators? In the case of affine curves, this question leads to a variety of mathematical notions such as the Weyl algebra, Calogero-Moser spaces and the adelic Grassmannian. We give a fairly detailed overview of this material.
22 pages, to appear in a volume dedicated to Graeme Segal's 60th birthday