  We study CFT2 conformal blocks on a torus and their holographic realization.
The classical conformal blocks arising in the regime where conformal dimensions
grow linearly with the large central charge are shown to be holographically
dual to the geodesic networks stretched in the thermal AdS bulk space. We
discuss the n-point conformal blocks and their duals, the 2-point case is
elaborated in full detail. We develop various techniques to calculate both
quantum and classical conformal block functions. In particular, we show that
exponentiated global torus blocks reproduce classical torus blocks in the
specific perturbative regimes of the conformal parameter space.
