If the reindeer has antlers, at that time of the year only females still have them, it is grabbed by the antlers and shoved through a sliding door into the breeders own corral. The central place where the reindeer is identified and sorted, is surrounded by the corrals of the breeders, there is no public place at all.
Each of the reindeer has its own charakter, some are just following the owner, when it is grabbed by the antlers, some animals refuse to budge an inch and have to be dragged and sometimes, mostly males without antlers, have to be wrestled to the ground. Hard work at -25C! But the atmosphere is very relaxed, no shouting, nobody is running around......