> What problems are people trying to solve with decentralization?
If you are following the rise of "dapps" or blockchain applications (circa 2017) then I would answer your question with "almost anything Internet-related".
Some examples:
* Decentralized Storage (IPFS)
* Decentralized Computation (Golem)
* Decentralized Professional Networking (Indorse)
There are many other examples, but a lot of them are vaporware and not worth mentioning.