Jacobi forms of singular weight whose index is maximal

Abstract

Abstract. In joint work with Nils Skoruppa, we study Jacobi forms of singular andcritical weight whose index is an integral positive lattice L of arbitrary rank. Such Jacobiforms are rare and are very often meaningful contexts ranging from moduli spaces ofalgebraic varieties over infinite dimensional Lie algebras to quantum field theory. Yetthey can be very explicitly described. In this talk, I report about corresponding recentresults, in particular, results concerning the explicit description and classification of theseforms.