I will give a brief introduction to Jacobi forms, including their relation to other types of
automorphic forms and some of their applications. After that, I will discuss some of the
ingredients that go into developing a theory of newforms for Jacobi forms of lattice index,
namely Hecke operators, level raising operators and orthogonal groups of discriminant modules.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/246