The interplay between cosmic rays and magnetic turbulence in galaxy
  clusters: radio halos and gamma rays
  The interaction of magnetic turbulence and relativistic particles is a
important process for understanding particles propagation and acceleration in
many astrophysical environments. Large-scale turbulence can be generated in the
intra-cluster-medium (ICM) during mergers between galaxy clusters and affects
their non-thermal properties. Giant radio halos, Mpc-scale synchrotron sources
observed in merging clusters, may probe the connection between turbulence and
non-thermal cluster-scale emission. After discussing relevant aspects of the
physics of turbulence and turbulent acceleration in the ICM, I will focus on
recent advances in the modeling of non-thermal emission from galaxy clusters.
