  The computation of Kronecker coefficients is a challenging problem with a
variety of applications. In this paper we present an approach based on methods
from symplectic geometry and residue calculus. We outline a general algorithm
for the problem and then illustrate its effectiveness in several interesting
examples. Significantly, our algorithm does not only compute individual
Kronecker coefficients, but also symbolic formulas that are valid on an entire
polyhedral chamber. As a byproduct, we are able to compute several Hilbert
series.
