An elliptic curve is a particular kind of cubic equation in two variables whose projective solutions form a group. Modular forms are analytic functions in the upper half plane with certain transformation laws and growth properties. The two subjects - elliptic curves and modular forms - come together[...]
This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. New to the second edition is material about tools through which the representation theory of compact groups plays a role in the infinite dimensional theory of nonc[...]