  I will review essential features of the Hamiltonian approach to QCD in
Coulomb gauge showing that Gribov's confinement scenario is realized in this
gauge. For this purpose I will discuss in detail the emergence of the horizon
condition and the Coulomb string tension. I will show that both are induced by
center vortex gauge field configurations, which establish the connection
between Gribov's confinement scenario and the center vortex picture of
confinement. I will then extend the Hamiltonian approach to QCD in Coulomb
gauge to finite temperatures, first by the usual grand canonical ensemble and
second by the compactification of a spatial dimension. I will present results
for the pressure, energy density and interaction measure as well as for the
Polyakov loop.
