Question: Where were the home games for a 2009-10 men's basketball team whose players known as Hoyas are members of a collegiate athletics conference that consisted of as many as 16 universities in the eastern half of the US and are known as the Big East Conference, played?
Sentence (from "2009–10 Georgetown Hoyas men's basketball team"): The Hoyas are members of the Big East Conference.
Relevant evidence: Yes