A speech by Republican strategist Karl Rove at the University of Massachusetts Amherst attracted dozens of protesters Tuesday night. The Springfield Republican reported that protesters began shouting insults and allegations, including that Rove was responsible for deaths in the Iraq war, shortly after Rove began a 30-minute speech. Hundreds of students turned out to hear him. The chief strategist of President George W. Bush’s presidential campaigns and his deputy chief of staff was invited by the university’s Republican Club in conjunction with the Smith College Republican Club. UMass student and Republican Club president David Kaufman called Rove an ‘‘important, intelligent, and influential’’ figure in American politics.