I will describe the Hochschild cohomology ring of a global quotient

orbifold [X=G] (i.e. a quotient stack of a smooth quasi-projective scheme X

by a nite group G in characteristic 0). I will describe, in particular, how the

stacky points of [X=G] make direct contributions to the cohomology, and how

the G-equivariant geometry of X determines the multiplicative structure. This

is joint work with Travis Schedler.