The flurry of summer events in New York will extend well beyond the city limits. In fact, from Buffalo to the Adirondacks, there will be dozens of festivals, concerts and celebrations all summer long, among them: Chautauqua.The granddaddy of New York's summer events, the 112-year-old Chautauqua Institute is a thriving center for the arts, religion and education, offering week-long conferences on a variety of topics. The institute also boasts its own symphony, presents opera and theater performances and offers courses in dance, music, foreign languages, religion and other subjects. John Kenneth Galbraith, Gloria Steinem, Jeremy Rifkin, Sol Linowitz, Shirley Chisholm and Robert Coles are among those taking part this summer. June 29-Aug. 31; for information, call (716) 357-6207. Albany.When the Liberty Weekend activities end, several of the tall ships will sail up the Hudson to Albany to kick off the I Love New York Summer Festival, celebrating the city's 300th birthday. There will be historical reenactments, a huge birthday party complete with a cake for 5,000, concerts and parades. July 12-27; (518) 434-1217. Canandaigua.Overlooking Lake Canandaigua, the Finger Lakes Performing Arts Center is the summer home of the Rochester Philharmonic Orchestra. Entertainers who will also perform this summer include Billy Crystal, Cleo Laine, the Moody Blues and Peter, Paul and Mary; (716) 454-7091. Saratoga Springs.Once people were drawn to Saratoga Springs by its famed mineral waters. Today the city is known for thoroughbred horse racing and its performing arts center, which is the summer home of the New York City Ballet, the New York City Opera and the Philadelphia Orchestra. The city also will host the Newport Jazz Festival-Saratoga next weekend; (518) 587-3330. Queensbury. The Lake George Opera Festival in Queensbury, near Glens Falls, has been bringing musical productions to the Adirondacks for 25 years. This summer there will be full productions of "Die Fledermaus," "Tosca" and "Carousel" as well as four performances of "Opera on the Lake," during which festival performers will cruise the lake presenting operatic excerpts and popular songs. July 18-Aug. 19; (518) 793-3866.