Extracting the shear viscosity of quark-gluon plasma from experimental
data has been one of the major goals of heavy-ion physics, leading to
very low values of eta/s = 1-2/4pi. Most of these works have been done
using by now outdated EoS parametrization, and I'll discuss how and
whether the use of contemporary EoS affects the extracted EoS in a
full-fledged Bayesian analysis. I will also discuss whether the minimum
value of eta/s depends on how the temperature dependence of eta/s is
parametrised.