Question: Where is the conference in which the Boston University Terriers play located?

Context paragraphs:
Boston University Terriers: The Boston University Terriers are the ten men's and fourteen women's varsity athletic teams representing Boston University in NCAA Division I competition.  Boston University's team nickname is the Terriers, and the official mascot is Rhett the Boston Terrier.  The school colors are Scarlet and White.  The mascot is named Rhett after Rhett Butler from "Gone With the Wind", because "no one loves Scarlet more than Rhett."

2003 America East Men's Basketball Tournament: The 2003 America East Men's Basketball Tournament was hosted by the Boston University Terriers at Walter Brown Arena .  The final was held at Case Gym on the campus of Boston University.  Vermont gained its first ever America East Championship and an automatic berth to the NCAA Tournament with its win over Boston University.  Vermont was given the 16th seed in the West Regional of the NCAA Tournament and lost in the first round to Arizona 80–51.  Boston University gained a bid to the NIT and lost in the first round to St. John's 73–57.

Boston University Terriers football: The Boston University Terriers football program were the American football team for Boston University located in Boston, Massachusetts.  The team competed in the NCAA Division I-AA and were members of the Yankee Conference and later the Atlantic 10 Conference.  The school's first football team was fielded in 1884.  Boston University participated in football from 1884-1997, compiling an all-time record of 323–390–34.  Boston University terminated their DI-AA football program on Homecoming Weekend 1997 during a one-win season in the Atlantic 10.  The players at the time were allowed to keep their 4-year scholarships or transfer without NCAA penalties.  The University has used the former-football scholarships to comply with Title IX requirements.

Hockey East: The Hockey East Association, also known as Hockey East, is a college ice hockey conference which operates mostly in New England.  It participates in the NCAA's Division I as a hockey-only conference.

Rhett the Boston Terrier: Rhett is the official costumed mascot of the Boston University (BU) and the Boston University Academy (BUA) Terriers.  The Boston Terrier has been the BU mascot since 1922.  The often snarling, bi-pedal black and white Boston Terrier was later named after the male lead in Margaret Mitchell's "Gone with the Wind", because "No one loves Scarlett more than Rhett" referencing Rhett Butler's affection for Scarlett O'Hara (scarlet is BU's primary color).  In recent years Rhett has frequented Boston University games, events, and dining halls wearing his scarlet and white double-zero hockey jersey.  Other outfits include a basketball jersey and a referee uniform (typically worn during the short youth hockey games that take place during ice hockey intermissions).  However, he is also known to enjoy wearing his scarlet superhero cape when the occasion presents itself.  Like all mascots, Rhett and the Terrier logo are ubiquitous at athletic events.  The Terriers play varsity Division I intercollegiate sports in ten men's and twelve women's programs.  Rhett's nemesis is Baldwin, the Boston College eagle.

Case Gym: Case Gym is a 1,800-seat multi-purpose arena at Boston University in Boston, Massachusetts.  It opened in 1972 as part of the Harold Case Physical Education Center, which is named after the university's fifth president, Harold C. Case.  The gym is referred to as "The Roof" because it is located on the top level of the building, above Walter Brown Arena.  It is home to the Boston University Terriers men's and women's basketball teams, as well as the men's wrestling team.  Basketball games are also played in Agganis Arena, and on occasion Walter Brown Arena.  When Boston University left the America East Conference for the Patriot League in July 2013, they announced that all home men's basketball conference games would be played at Agganis Arena, with the non-conference games to be played at Case.

Agganis Arena: Agganis Arena is a 7,200-seat multi-purpose arena in Boston, Massachusetts, United States, on the campus of Boston University, built on the location of the former Commonwealth Armory.  It is home to the five-time national champion Boston University Terriers men's ice hockey team.  It is named after Harry Agganis, an outstanding football and baseball athlete for BU and the Boston Red Sox, who died at the age of 26 from a massive pulmonary embolism.  A life-size bronze statue of Agganis sculpted by Armand LaMontagne stands outside the arena at the corner of Commonwealth Avenue and Harry Agganis Way.  The hockey rink is named Jack Parker Rink, after the legendary BU hockey player and coach.  The arena is part of Boston University's "John Hancock Student Village", which also includes dormitories and the university's five-story Fitness and Recreation Center.

Boston University Terriers women's ice hockey: The Boston University Terriers women's ice hockey represent Boston University.  The Terriers play in the Hockey East conference.  Finishing their 10th season as a D-I varsity team, the Terriers have won five Hockey East Championships and have made six consecutive NCAA Tournament appearances.

Wayland Vaughan: Wayland Vaughan coached the Boston University Terriers men's ice hockey team from 1928 until 1943, compiling an 87-82-8 record.  Vaughan was far from the most successful coach in terms of winning percentage, but maintained the Terriers program in the face of both the Great Depression and World War II.  Without any conference affiliation, Boston University played erratic schedules, with anywhere from 10 to 15 games per season.

Boston University Terriers women's basketball: The Boston University Terriers women’s basketball team is the college basketball program representing Boston University in Boston, Massachusetts.  The Terriers currently participate as part of the NCAA Division I basketball, and compete in the Patriot League.  The Terriers currently play their home games in the Agganis Arena.

Supporting paragraphs: Boston University Terriers women's ice hockey Hockey East
Answer: New England