Georgetown University's basketball team will play Indiana, the 1976 NVAA champion, Dec. 6 at Capital Centre, in the first game of a two-year home-and-home series, it was learned yesterday.

The dates became available when Indiana and Notre Dame could not agree on a playing date this season because of television and scheduling conflicts.

Georgetown, which has yet to release its 1978-79 schedule pending completion of ECAC television commitments, had its best season in history last year, 23-8 and reaching the semifinals of the National Invitation Tournament.

Now the Hoyas want to test their drawing power, since McDonough Gym, their on-campus home court, seats only 4,000 and is considered a pit to be avoided by well-known basketball powers that would otherwise consider home-and-home series with Georgetown.

"Our coach, John Thompson, is in the process of trying to upgrade our schedule on a continuing basis," said Georgetown AD Frank Rienzo. "The Indiana game is a natural at Capital Centre, and in the future we're hoping of bringing in teams the quality of Indiana for the people of Washington to see."

Rienzo said the school is negotiating with several such schools for the 1979-80 season. But he said no contracts had been signed, and he declined to name the schools with which he is negotiating.

Jerry Sachs, Capital Centre president, said Georgetown is the only school with which he is discussing the scheduling of regular-season games. He said Navy, American and George Washington has shown no interest.

Sachs would not discuss financial details, but Georgetown officials, citing last year's Tipoff Tournament, say a crowd of 6,500 is about the break-even point.

The Indiana game is currently set for 8 p.m., and a Georgetown source said a high-school game may be added as a preliminary.