Homo Sapiens Sapiens established world-wide.  Climax and end of last ice-age...

50,000 years ago to present

Sources

Behaviorally modern humans leave Africa for Europe and Asia (50-60,000 BP): Scientific American, Sept 2000, p.68.
First humans in Australia (before 40,000 BP): Scientific American, Sept 2000, p.66.
First humans in Americas (20-30,000 BP ??): Scientific American, Sept 2000, p.68.
Earliest known human remains in Americas (Chile, 14,700 BP): Scientific American, Sept 2000, p.66.