Honestly, I think overpopulation will not be a major problem within 200-300 years because governments will start regulating how many children parents will be allowed to have. Most likely 2 children per family, because that will lead to 0 population growth.
I believe this to be an inevitable result of improvements in health science and life expectancies, but at the same time this is not a new political strategy of dealing with overpopulation. It is being used all around the world a this time in many countries with "overflowing" populations.
Mammal hibernation would be interesting to research, but probably not very productive. The reason mammals that hibernate are able to survive on so little food is because their body function slow to a "snail's pace". It would be very unproductive to have human's hibernate, and this is probably the only method from a biological perspective to allow humans to survive on so little.
At the same time, many humans gain enjoyment from food so this would only have a use in a military or space exploration sense.
As far as Star Trek replicators (I know... I'm a nerd who actually remembers the name of the things) are concerned, the only method I can envision this being accomplished is by converting energy to matter, and then rearranging the matter. It would be extremely hard to store a large amount of diverse matter molecules. This can be accomplished (essentially the opposite effect of the atom bomb), but it is very unstable.
I would like to see the invention of transporter pods, that would change the face of the world, and every economy in a very short amount of time.