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

Boylan H.

Journées Arithmétiques XXXI, İstanbul, Türkiye, 1 - 05 Temmuz 2019, ss.33

  • Yayın Türü: Bildiri / Özet Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.33
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.