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Group recommender systems introduce a whole set of new challenges for recommender systems research. The notion of generating a set of recommendations that will satisfy a group of users with potentially competing interests is challenging in itself. In addition to this we must consider how to record and combine the preferences of many different users as they engage in simultaneous recommendation dialogs. In this paper we introduce a group recommender system, called CATS, that is designed to provide assistance to a group of friends trying the plan a skiing vacation. The system uses the DiamondTouch interactive tabletop to allow up to 4 users to simultaneously engage in parallel recommendation sessions and we describe how personal and shared profiles and interaction spaces can be managed to generate sets of recommendations for the individual and the group.