Finally, there’s a date. On Nov. 16, the Harvard Art Museums will reopen after a six-year, $350 million renovation and expansion that has transformed the facility on Quincy Street. The new complex will bring the collections of the three museums — the Fogg, the Busch-Reisinger, and the Arthur M. Sackler — under the same roof for the first time as well as add study centers, a nearly 40 percent increase in gallery space, and a renovated courtyard with a shop and cafe. The new building, designed by Renzo Piano, also will feature a glass roof that regulates light throughout the museums. “We asked him to design it from the inside out — to create a new kind of laboratory for the fine arts that would support our mission of teaching across disciplines, conducting research, and training museum professionals,” said Tom Lentz, the director of the Harvard Art Museums, in a statement. To date, Harvard reports it has raised $237 million of its $250 million fund-raising goal, with donors to the project including Emily Rauh Pulitzer and Joseph Pulitzer Jr., David Rockefeller, Richard and Ronay Menschel, Robert and Betsy Feinberg, and Marguerite Steed Hoffman.