The centre actually puts on a lot of events. Justice Jackson served as Attorney's General under FDR. He was appointed to the Supreme court and wrote not just one of the most eloquent decisions in the Barnett case but he served on the court during the Korematsu case which involved the internment of Japanese Americans. He left the court to serve as the chief prosecutor of the Nuremberg Trials.
The centre mostly focuses on the cases that Justice Jackson had helped to preside over, but it is also a place where for instance the State of New York Appeallate division is going to hear some cases soon. There is a lot of events put on about Nazi Germany by the centre and on matters of civil rights.
Edit:
He didn't leave the court for the Nuremberg trials. He just took a leave of absence from the court for the trials. He later was part of the unanimous decision in Brown v Board of Education.