Quarkonium production in ALICE at the LHC

In heavy-ion collisions at the LHC, the ALICE Collaboration is studying Quantum Chromodynamics (QCD) matter at very high energy density where the formation of a Quark Gluon Plasma (QGP) is expected. Quarkonium production is an important probe to characterize the QGP properties. High precision data in pp collisions provide the baseline of the Pb-Pb measurements and data in p-Pb collisions serve to quantify the contribution of initial and/or final state effects, related to cold nuclear matter. Since 2010, the LHC provided Pb-Pb collisions at sNN=2.76TeV, pp collisions at various energies and in 2013 p-Pb collisions at sNN=5.02TeV. ALICE measures quarkonium production from zero transverse momentum in the dimuon channel at forward rapidity and in the dielectron channel at mid-rapidity. This proceedings presents the new results on inclusive production of J/ψ, ψ(2S) and ϒ performed in p-Pb collisions and on the pT dependence of inclusive J/ψ in Pb-Pb collisions. The contribution of J/ψ from B hadrons to the inclusive production in Pb-Pb is also discussed. Finally, the p-Pb measurements allow an estimation of the contribution of the cold nuclear matter effect to the Pb-Pb measurements and this is also reported.