John Barylick, author of “Killer Show,” a book that details the 2003 Station nightclub fire and its aftermath, will speak Sunday at the Providence Public Library. Barylick is an attorney who has represented victims in wrongful death and personal injury cases related to the club fire, the fourth-deadliest in U.S. history. His work has amassed $176 million in settlements from people and corporations responsible. On his website, Barylick said a goal of the book was to chronicle the “folly and greed,” which led to the fire.