The goal varies as per different acts in fallout 4. The protagonist awakens in 2287, after 200 years of coming out of the Cryo pad. read more
The institute's goal is to create a perfect slave workforce (the synths) for the betterment of mankind. they're also trying to build a nuclear reacter so they can be self-sustained and outlive the people on the surface who they believe at this rate will kill themselves off in the distant future. read more