Many fields of science and engineering will be transformed by the leap to exascale computing, but the leap will require new thinking, new technology, and a new generation of technical leaders whose training  may have to be radically different. This symposium, bringing together industry leaders, faculty, and students, will begin with an articulation of the science that might be enabled by exascale and conclude with a discussion, led by industry representatives, of technological and knowledge leaps that will be necessary.