Does this lamp trip _all_ the GFCIs in the facility _all_ of the time? If so, then I would strongly consider a ground-neutral fault in the lamp.
But if the lamp trips some of the GFCIs or only some of the time, then you might want to replace the 'sensitive' GFCIs.
GFCIs are supposed to trip on current imbalance. However what they really do is trip on the net current as measured by a current transformer which encloses all of the circuit conductors. If the circuit conductors are not both equally coupled to the CT, then even with balanced current in the conductors, current will be present on the output of the CT.
It is entirely plausible that high balanced currents will be registered as an imbalance on some GFCIs, causing nuisance tripping.
-Jon
