  The representation theory of rational Cherednik algebras of type A at t=0
gives rise, by considering supports, to a natural family of smooth Lagrangian
subvarieties of the Calogero-Moser space. The goal of this article is to make
precise the relationship between these Lagrangians and Schubert cells in the
adelic Grassmannian. In order to do this we show that the isomorphism, as
constructed by Etingof and Ginzburg, from the spectrum of the centre of the
rational Cherednik algebra to the Calogero-Moser space is compatible with the
factorization property of both of these spaces. As a consequence, the space of
homomorphisms between certain representations of the rational Cherednik algebra
can be identified with functions on the intersection Schubert cells.
