Wow, thank you everyone for all your answers !
I'll have a deeper look into the proposed threads later today after work, thanks @c.a.m
I am very aware of frostbite (and a bit afraid of it) but I will be working during the day so I wasn't intending to stay behind my camera all time but just checking it some time to time (Like every half an hour if my battery can last that long) to make sure that it is still running and that the parameters are still good.
So it seems that the camera could resist, the problem is more on the battery side. I already have 2 batteries, might buy one or two more then
Does a battery discharge in the cold even when not used or only while taking pictures?
I am a bit concerned about the lens also, I might rent one for the week there so I'll ask directly to the shop and make sure that it can resists.
Are there any kind of existing solutions to warm up my camera?
I might have access to power supply also, but I never connect my camera directly to it so I don't know what system I need to do it. Any proposition for that?
My brother bet a beer that it will not last more than 10 minutes by -29°. I intend to gain that beer haha
Thanks again.