Will leaving my perfume in an unheated apartment for a few weeks affect it?

I'm going on a trip this winter for about 3 weeks and I'm turning off the heat in my apartment to save money. It gets down to -15°C here at night and sometimes doesn't go above freezing for a week or longer, even during the day. Will this affect my perfume at all? I wouldn't be worried if I just forgot it in a cold car for a few hours or something, but this will be a much longer time. I just bought a new one that was a little expensive, so I'd rather not bring it with me due to the chance of damage when I travel. Am I worried for nothing or could the freezing temperatures damage it?