Sorry, didn't realize that your wife went outside with you
No, there is no "inverter or converter" inside the case. There is, however, a video adapter. (Below)
Were there any "burnt electrical" smells when you noticed the computer was off?
Are you positive that the wall outlet works? Plug in a lamp to verify.
Check your monitor - (okay, stay calm!) is it plugged in and turned on? Can you swap the monitor for another, including a different data cable? Or plug your monitor into your laptop to see if it displays.
Do you know if you have a "discrete" (separate) video card or does the system use on board memory? One way to tell may be to see how many blue VGA adapters there are.
Are there any sounds when you press the power switch - fans starting, clicks, beeps? Is there a power switch on the back of the computer near the power cord? Is there a green light illuminated on the motherboard?
Answer all that you can and post back.