Hurwitz class numbers in the theory of automorphic forms, and an extension to totally real number fields

Boylan H.

The Second Romanian-Turkish Mathematics Colloquium, İstanbul, Türkiye, 25 - 29 Ekim 2017, ss.1

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.1
  • 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.