Thanks for the info. It seems to be the same thing, as happened to few other people. I got steam logs and there was an information that was related to the crash (as: there was something weird just before it crashed), but it was not that useful. I wish it was crashing on one of my computers, because then I could try lots of stuff (I currently suspect a one or maybe a few particular calls that crash the game later on, it doesn't seem to happen immediately but builds up).
If you could tell me what graphics card (and drivers) do you have and how many cores (strangely enough, I have one crash being reported now and then that happens only on computers with 12 cores).