Touching on when Nazis marched in Skokie, a panel discussed whether far-right activists, like Milo Yiannopoulos, should be banned or allowed on campus.
Antifa has become the target of the mayor's criticism in the days following rallies that drew thousands to the streets of Berkeley.
The former White House chief strategist could join a roster of far-right firebrands invited to the campus this fall.
After a summer of will-they-won't-they, UC Berkeley has said Ben Shapiro can speak at Zellerbach Hall on Sept. 14.
The new chancellor has inherited a university that is politically fragmented and financially distressed.