Steve Lester: Equidistribution of mass and zeros of modular forms

Modular forms appear prominently in number theory and also come
into play in other areas of mathematics as well as physics. In this talk I
will mention some basic properties of modular forms and describe the
distribution of their zeros. In particular, I will describe a relationship
between the equidistribution (w.r.t. hyperbolic measure) of L^2 mass of Hecke
cusp forms and the equidistribution (w.r.t. hyperbolic measure) of their
zeros. I will also describe some recent joint work of mine, which studies
these problems at smaller scales.