Currently this has been a huge pain for me.
I have a fresh Windows 10 VM. I Installed SQL Server 2012. I open up the SQL Server Studio 2012, and there is no server name that I can choose from in the "Connect to Server" dialog box that shows up.
Additional Context:
10.0.2100.60 is the sql server version
4.0 is the .net framework
Best Answer
Turns out all I was doing was installing just the management studio, and not the sql server service, which is why it wasn't showing up.