We're still in below average temperatures. Considering our dummy ancestors were around 50 million years ago, when averages were 30 degrees hotter, I don't see why man, as we are now, wouldn't survive. The poles will be nice tropics, once again [2].
Society as is, is doomed, but man is probably fairly permanent.
[1] https://www.climate.gov/sites/default/files/styles/full_widt...
from
https://www.climate.gov/news-features/climate-qa/whats-hotte...
[2] https://www.cbsnews.com/news/study-north-pole-once-was-tropi...