The discussion is planned at 7 p.m. on stage at the university's Quick Center for the Arts.
The university said a "limited number" of free tickets would be offered to Fairfield residents through a random drawing. To enter, residents must fill out an online form at www.fairfield.edu/hoffman before noon on Friday, Feb. 14.
Tickets were limited to two per household, and proof of residency in Fairfield would be required, the university said. Those whose names are drawn will be notified by email.
All remaining tickets are reserved for university students, faculty and staff.
Girard, best know for his 1998 film "The Red Violin," will shoot several scenes for his new independent feature film "Boychoir" on the Fairfield campus beginning next month, the university said in a news release.
"Boychoir" is the story of a troubled and angry 11-year-old boy from rural Texas who is admitted to a prestigious East Coast choir school, according to the release.
Completely out of his element, the boy finds himself in a battle of wills with a demanding choirmaster, played by Hoffman, who recognizes a unique talent in this young boy and pushes him to find his creative self in music.
Kathy Bates is cast as the school's headmistress.
Hoffman is one of the nation's most versatile and prolific actors, known particularly for movie roles in "The Graduate," "Kramer vs. Kramer," "Midnight Cowboy," "Tootsie," "Rain Man," "Meet the Fockers" and "Wag the Dog."
He has been nominated for seven Academy Awards and won two -- for "Kramer vs. Kramer" and "Rain Man." He also earned six Golden Globes, the 1999 American Film Institute's Lifetime Achievement Award and the Kennedy Center Honors in 2012.
In 2012, Hoffman directed the acclaimed film "Quartet."
Girard wrote and directed "The Red Violin," which won an Academy Award for best original score. In addition, he has directed and produced numerous works for the stage, including Cirque du Soleil's "Zarkana" and the Metropolitan Opera's "Parsifal."