Thanks to all !

I have removed the complete light fixture from the fan.
There is no power in the wires to the light fixture.

I also removed the lights dimmer/switch on the wall,
and there is no power to it.

I identified the fan breaker and that is operating.

Also checked the overload breaker in the adjacent
bathrooms wall outlet and there is power in the outlet.

Removed the breaker panel cover but no burnt wires are
evident at a glance.

I agree probably some wire is burnt somewhere- but where ?

Removing the entire fan and checking the wires coming
out of the ceiling is the only idea I have left
Any other thoughts before I call an electrician ?