Is there a name for this variation ? (or just this setup in general) Recently I played a game against an international master, which I won, with a variation I prepared by having Deep Fritz 14 analyze each move individually, and now I'm wondering is there a specific name for this: (I play with white)




[FEN ""]

1. d4 d5 2. Nf3 Nf6 3. g3 g6 4. Bg2 Bg7 5. Nc3 0-0 6. Bf4




And to continue, I never actually played e3 in the game, but proceeded to set up e4 and eventually succeeded... 

It doesn't have to be exactly this one, but I found that it doesn't fit in the description of the Barry attack or London system?
You are right that it doesn't fit the description for the Barry Attack or London system. In neither system does white fianchetto his kingside bishop like that.

The black side looks characteristic of the Gruenfeld Defence. There are many ways for white to respond to the Gruenfeld. I haven't seen this one but that doesn't mean much since I rarely play the Gruenfeld as black.