  The critical sector of strong interactions at high temperatures is explored
in the frame of two complementary approaches: Statistical Bootstrap for the
hadronic phase and Lattice QCD for the Quark-Gluon partition function. A region
of thermodynamic instability of hadronic matter was found, as a direct
prediction of Statistical Bootstrap. As a result, critical endpoint solutions
for nonzero chemical potential were traced in the phase diagram of strongly
interacting matter. These solutions are compared with recent lattice QCD
results and their proximity to the freeze-out points of experiments with nuclei
at high energies is also discussed.
