Did it always crash or did it work at first and then start crashing? (like maybe after looting a ton of stuff)
If it used to work, does it work if you start a new game? If so, the problem may be with the save itself.
Did you try both the 'I' hotkey, and the icon under the character portraits to open the inventory?
Try verifying local files for the game. After that, browse to your '..\Documents\Larian Studios' folder and rename the 'Divinity Original Sin' folder (contains your saved games as well as configuration files). Start the game, start a new game and see if you have the same problem. If you wait until you get to the guards at the bridge, you can try trading first (if you haven't already), and see if that also causes a problem.
If a new save works after that, and you managed to get far enough in your old save that you want to continue, then move your save folder(s) from the renamed 'Divinity Original Sin' folder to the corresponding Savegames folder in the newly created folder.
If you set windows not to automatically reboot after a BSOD, check the error message and do a google search for it, you may be able to find suggestions to try.