Is Beaujolais (and Gamay) Burgundy?

[quijote]

From what I've been reading, it seems that people may legitimately be referring to Beaujolais (and the Gamay grape) when they speak of Burgundy. However, at a wine tasting seminar a few days ago, the organizers proclaimed that Pinor Noir is the only red grape grown and used in Burgundy. I didn't want to ask this at the seminar and embarass myself or come off as pretentious. (I had already been asking quite a few pointed questions.)

So, is Beaujolais considered Burgundy? Or is it an enclave located within the confines of Burgundy (sort of like the Vatican embedded within Italy)? Or something else?