  The phase diagram of lattice QCD in the strong coupling limit can be measured
in the full $\mu$-$T$ plane, also in the chiral limit. In particular, the phase
diagram in the chiral limit features a tricritical point at some $(\mu_c,T_c)$.
This point may be related to the critical end point expected in the QCD phase
diagram. We discuss the gauge corrections to the phase diagram at strong
coupling and compare our findings with various possible scenarios in continuum
QCD. We comment on the possibility that the tricritical point at strong
coupling is connected to the tricritical point in the continuum, massless QCD.
