It may take a while to get used to, but the Folger Theatre has a new name: The Shakespeare Theatre at the Folger. The name change is the latest reflection of the theater's independence, acquired in June from the Folger Shakespeare Library, its former administrator.

Along with the new name, the classical theater has unveiled a new logo, designed by the Barton-Gilette Co. of Baltimore. The logo features Elizabethan typography in tandem with a calligraphic "S" (as in "Shakespeare") drawn from an earlier period, giving the "S" a "very modern and playful appeal," explained artist Robin Soltis-Brach.

Reversing an earlier decision to close the 253-seat facility at the end of last season, the board of trustees of Amherst College, which governs the library, agreed last March to contribute $300,000 to the theater over two years, as well as pay the $260,000 maintenance and upkeep costs for the same period. The theater plans to become financially independent by the end of the 1986-87 season.

Although no formal provisions have been made to keep the theater at the library after the arrangement expires, discussions to do so are ongoing, said Regan Byrne, director of public relations for the Shakespeare Theatre. "The library has given us every indication that we will be able to use that space for a long time," she said. 'Cyrano' in Baltimore

Less than one year after the Opera House staged the Royal Shakespeare Company's triumphant production of "Cyrano de Bergerac," the Morris A. Mechanic Theatre has announced it will bring an American production of Edmond Rostand's tale of adventure and romance to Baltimore Jan. 7.

The new adaptation by Emily Frankel will feature two-time Tony award winner John Cullum in the title role. Cullum is perhaps best remembered for his portrayal of Kansas farmer Jim Dahlberg in the controversial made-for-television movie "The Day After," which depicted the aftermath of a nuclear attack. Broadway veteran Arthur Storch will direct.

"Cyrano" replaces the pre-Broadway production of the musical "Back on the Town," which has been postponed because leading man Charles Durning took on a film project. "Back on the Town" producers hope to reschedule the revue, which will star Nancy Walker, sometime in March. Grants

The Arena Stage Campaign was recently awarded a $100,000 grant from the Eugene and Agnes E. Meyer Foundation, bringing total gifts and pledges to $4.5 million. Of the $6 million goal, $5.5 million will be used to establish a permanent endowment, with the remaining $500,000 earmarked for equipment and property improvements.

Ford's Theatre last week received a $100,000 grant from the Morris and Gwendolyn Cafritz Foundation. The money goes into the theater's 1985-86 Production Fund, which is used to help defray preproduction costs for shows originating at Ford's. Odds and Ads

"The Boys of Winter," written by Catholic University graduate John Pielmeier, closed Sunday in New York, one week after opening to harsh reviews . . . This month sees Broadway's first comic book casting call: Marvel comics has run a full-page ad, seeking a 10- to 14-year-old girl who can sing, dance and act to play the part of Mister in "Captain America," a musical that goes into rehearsal in early February . . . The American National Theater is utilizing a recorded message to stir up interest in its production of "A Seagull," which is currently in previews at the Eisenhower. Callers who dial 457-8345 can hear how Chekhov's now-classic play was received by Muscovites when originally staged there in the late 1890s . . . Lawrence Hamilton, a principal cast member of the Broadway-bound "Uptown . . . It's Hot!," which has been extended at the Warner through Dec. 15, will conduct a master class in tap dancing Thursday at Joy of Motion. For details call 362-1320. Openings

Thursday, "The Singular Life of Albert Nobbs" at the New Arts and "The Fantasticks" at the Washington Theatre Wing; Friday, "The Light" at Source's Warehouse Rep, "Who's Afraid of Virginia Woolf?" at the Washington Theatre Wing and "Neighbours" at the Sanctuary; Saturday, "A Seagull" at the Eisenhower; Monday, "The Regard of Flight" at the Kreeger.