Jacobi forms of singular weight whose index is maximal

Boylan H.

27th Automorphic Forms Workshop, Dublin, Ireland, 11 - 14 March 2013, pp.5

  • Publication Type: Conference Paper / Summary Text
  • City: Dublin
  • Country: Ireland
  • Page Numbers: pp.5
  • Istanbul University Affiliated: Yes


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