Hurwitz Class Numbers and Automorphic Forms, and an Extension to Number Fields


Boylan H.

Journées Arithmétiques XXXI, İstanbul, Turkey, 1 - 05 July 2019, pp.33

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.33

Abstract

Hurwitz class numbers occur in various places in the theory of classical modular and Jacobi forms.

Recently, in joint work with N-P Skoruppa, we found an extension of this theory to (totally real)

number fields. In this talk we explain the context for these considerations, introduce the pendants

of Hurwitz class numbers in totally real number fields and the appearance of these new numbers in

the theory of Jacobi forms over number fields.