The shoes are Adidas Duramo Speed 2, a perfectly decent budget running shoe that I picked up for about 50€. It serves me fine for runs up to about 16km.
The one thing that bugged me was the gross sticky feeling of the insoles. So I tore those out and replaced them with the still really nice insoles of my recently retired Altra Escalante Racers. They fit well, and it feels like an instant upgrade!