The New York Philharmonic could be getting an East Side address when the planned renovation of its Lincoln Center hall leaves it homeless for two seasons: The orchestra is in talks with Hunter College about moving into a 2,000-seat auditorium there.

The orchestra plans to play at a number of places around all five city boroughs during the renovation of its home, David Geffen Hall, a project expected to cost $500 million, begin in 2019 and last for two seasons. But orchestra officials, who have mapped where their subscribers and single-ticket buyers live, recognize that they will need to play most of their core season at centrally located spots in Manhattan, and that they will need a base of operations for most concerts and rehearsals. That is where Hunter comes in.

There is a history behind the idea: In 1960, when the Philharmonic feared that its old home, Carnegie Hall, would be razed before its new home at Lincoln Center was ready, the orchestra made plans to move to the Hunter auditorium for the 1960-61 season. But a group led by the violinist Isaac Stern saved Carnegie Hall, and the planned Hunter season never happened.

Several hurdles must be surmounted if the orchestra is to move to the Hunter hall, which is on the college’s East 68th Street campus, at Park Avenue. The space, known as Assembly Hall but commonly called the auditorium, needs renovations to make it right for the Philharmonic. Officials said that could cost $20 million to $25 million, which Hunter hopes to raise through a combination of private philanthropy and public money, and, because it is part of the City University of New York, public funds as well. Many other details would need to be worked out. But officials at both Hunter and the Philharmonic sounded optimistic.