2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67182In 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 birthdayAlgebraic GeometryMathematical PhysicsQuantum AlgebraRings and Algebrastext