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The heavy ion experiments in Relativistic Heavy Ion Collider (RHIC) and LargeHadron Collider (LHC) are going through upgrade in the next five years,shifting their focus more on the hard processes in the new runs. One of themain goals is to draw a finer image for the quark gluon plasma (QGP). The heavyflavor probes , which witness the whole history of heavy ion collision areparticularly sensitive to test the properties of QGP formed in such collisions.The lattice results for heavy flavor probes provide transport andphenomenological models crucial inputs to describe the experimentalobservations like the strong suppression of the nuclear modification factor$R_{AA}$ and the non-zero azimuthal anisotropy at low $p_T$. In the last twoyears we have seen significant advances in the lattice QCD studies of heavyflavor probes, including the in-medium quarkonium properties, the complexstatic quark-antiquark potential and the heavy quark diffusion from latticesimulations at nonzero temperature. These achievements substantially deepen ourunderstanding of the fate of quarkonium, the screening/unscreening of thecomplex potential and the temperature and quark mass dependence of the heavyquark diffusion in thermal medium. In these proceedings, we review recentresults and briefly discuss possible directions in these studies.

Transport and Connection to Heavy-ion Collisions via Heavy Flavor Probes