Seth Meyers—a veteran of “Saturday Night Live” and the host of NBC’s “Late Night with Seth Meyers”—sat down at the 2017 New Yorker Festival to walk Ariel Levy through a career that seems charmed. As an unknown improv performer, Meyers was picked for the cast of “Saturday Night Live”; he eventually became the show’s head writer and the host of “Weekend Update,” alongside Amy Poehler. Along the way, Meyers tells Levy, he had a number of strange run-ins with Donald Trump. When Trump appeared on “S.N.L.,” he was in a sketch about his lack of empathy, with Meyers playing his son. Later, Meyers hosted the White House Correspondents’ Association dinner and observed that “Donald Trump says he has a great relationship with the blacks. But unless the Blacks are a family of white people, I think he’s mistaken.” After, it was widely reported that President Obama’s mockery of Trump at that event spurred Trump to launch a campaign for the Presidency. At first, Meyers was hurt by the lack of attention. “I wanted to share credit. . . . I helped trick an unelectable person to run for President,” Meyers says. “Then he won. And when he won, my first thought was, ‘This is Obama’s fault. I had nothing to do with it.’ ”