Mine more than a project is an idea on how to make work a modern computer with HDMI to a HDMI monitor or tv with a wirless connection, i know there is wirless for wifi router bluetooth for devices but none
until now have look inside the hdmi connection to make it wirelessly. It all stay in find the right frequency and make one emitter for the computer and one recevier for the tv or monitor.
It can be possible also to add to the emitter a switch to select more receiver so you can use more tv one at a time with the same computer.
Dont have it with me if something similar just exists!