Peloton monitor won't turn on. Here's how to fix it. (note: I am not a Peloton agent)
Disconnect the 2 cables from the back of the monitor by first hinging open the cover. The left cable is the Peleton cable that uploads your data. The right cable is power. Disconnect them both.
Then, remove the power cable from the back of the bike, and plug it directly into power socket on the monitor (on right, marked with line and 3 dots).
Now push the power button on the monitor. It should come on. This procedure bypasses the Peloton power and data cable and shows there may be a problem with that cable or its connection beside the flywheel. Call Peloton for more support.