There has been no warming in or around Antarctica since 1979.
As can be seen, there were two major cooling episodes, centred around 1993/94 and 1999/2000, since which temperatures have recovered back to the levels of the 1980’s. Indeed the 120-Month running average is still not as high as it was in 1990.
This long term average has also been stable since 2011, implying that there has been little change since 2001.
Meanwhile, down at the pole itself, nothing much seems to be happening either, according to GISS.
Finally, let’s check out the SST’s for the Southern Ocean, from Bob Tisdale’s website.