Dealing with Window Crack + Floor distortion

One room in my apartment is unusually cold this winter. Other rooms are properly heated, but one...it's always bitter cold. I believe the issue is stemming from a crack in the widow frame. My first reaction was to buy some insulation foam and deal with it in the spring, but other things caught my attention. I noticed that the bottom part of the wall near the window frame is slightly curved outward, and the floor files are also "sliding" into the wall. I've checked other corners in the room and other rooms, and all the tiles keep the same width, and have a clear perpendicular line to the wall, except this corner. Street sounds are much louder near that window. Is this something potentially serious that I should alert the building management about, or can I just throw some insulation on there and be done with it? I'm not great with descriptions, so I've posted an album of my findings

http://imgur.com/a/WAKgy

Edit: Comments are actually welcome! There should be an option to disable that notification..