What are your responsibilities for maintaining a leased car does the dealership perform the work?

It's pretty much spelled out in your lease agreement. Have you read it? I would have no idea what it says. For the most part you MUST perform all maintenance as outlined in the owner's manual scheduled maintanence section. (You HAVE read that, haven't you?) The dealership might have to do the service or it could be any competent mechanic. It's in the lease agreement.