BAHAR MATHEMATICS MEETING, İstanbul, Türkiye, 24 - 25 Şubat 2018, ss.2
The theory of Jacobi forms was created in 80's of the last century by Eichler and Zagier.
This theory turned out to have many useful applications ranging from combinatorics over
physics and algebraic geometry to number theory. It complements the classical theory of
elliptic modular forms. In this talk we try to explain the notion of Jacobi forms and its
main applications in number theory and arithmetic geometry. In the second part of the
talk we indicate recent affords to extend the classical theory to a theory of Jacobi forms
over number fields.