Jacobi forms of singular weight whose index is maximal


Boylan H.

27th Automorphic Forms Workshop, Dublin, İrlanda, 11 - 14 Mart 2013, ss.5

  • Basıldığı Şehir: Dublin
  • Basıldığı Ülke: İrlanda
  • Sayfa Sayıları: ss.5

Özet

Abstract. In joint work with Nils Skoruppa, we study Jacobi forms of singular and

critical weight whose index is an integral positive lattice L of arbitrary rank. Such Jacobi

forms are rare and are very often meaningful contexts ranging from moduli spaces of

algebraic varieties over infinite dimensional Lie algebras to quantum field theory. Yet

they can be very explicitly described. In this talk, I report about corresponding recent

results, in particular, results concerning the explicit description and classification of these

forms.