Rice University Mathematics Department
Height zeta functions encode certain arithmetic properties of algebraic varieties over number fields. They were introduced by Arakelov and Faltings in their study of zero cycles on curves. Later developments revealed connections with the minimal model program in algebraic geometry, the theory of automorphic forms, and complex analysis. I will discuss examples of height zeta functions and survey some of these connections.
The Annual Wolfe Lectures are supported through a generous gift from the estate of Raquel A. Wolfe in loving memory of her husband, Dr. Alfred S. Wolfe, and his love for math which he instilled in both his children.
