Intel has demonstrated a wireless power system sufficient to power a 60-watt light bulb, which they say is enough to drive a laptop. (Report here.)
They say the power is transmitted via magnetic fields:
"It turns out the human body is not affected by magnetic fields; it is affected by elective [sic - electric] fields. So what we are doing is transmitting energy using the magnetic field not the electric field."
I'm quite rusty on the physics, but I imagine it might involve some sort of inductance, which involves the transfer of energy between magnetic and electric forms.
Looking at the bottom of my laptop, I see 19V by 4.74A, which would mean it's running at about 90 W. Right order of magnitude, and my one would not be the most efficient one on the market.
I'm not sure the human body is unaffected by magnetic fields, but it's plausible the numbers stated would make for a fairly small field. It's not the broadcast power of science fiction dreams: I imagine the application of this technology would be limited by distance to quite local appliances. Thus it's understandable that a company like Intel would be interested in investing.