What are Jacobi forms and what are they good for?

Boylan H.

BAHAR MATHEMATICS MEETING, İstanbul, Turkey, 24 - 25 February 2018, pp.2

  • Publication Type: Conference Paper / Summary Text
  • City: İstanbul
  • Country: Turkey
  • Page Numbers: pp.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.