“When the first ‘Alien’ movie and ‘Blade Runner’ were made, I thought that in the near future the world will be owned by large companies. This is why we have the Tyrell Corporation in ‘Blade Runner’, and Weyland-Yutani in ‘Alien’. They sent the Nostromo spaceship.
The Prometheus is owned by an entrepreneur called Peter Weyland, and is played by Guy Pearce. That’s the connection between the two films, and nothing more. Prometheus is a new film, a new world, and is full of new ideas. And of course new monsters as well.“
Well, today IGN has shared a video with us (see below) confirming that Pearce is indeed "Peter Weyland" of the Weyland Corporation that one day will become Weyland-Yutani from the Alien films.