Infinite products in number theory and geometry

Abstract

We give an introduction to the theory of Borcherds products and to some number theoretic and geometric applications. In particular, we discuss how the theory can be used to study the geometry of Hilbert modular surfaces.

34 pages, to appear in Jahresber. Dtsch. Math. Ver

References in corpus (3)

• Derivatives of Eisenstein series and arithmetic geometry
• Borcherds products and arithmetic intersection theory on Hilbert modular surfaces
• Arithmetic characteristic classes of automorphic vector bundles