In this talk we will recall the theory of Drinfeld modular forms. After discussing the lack of eigenforms with respect to the Hecke action, we will introduce the concept of A-expansions for Drinfeld modular forms. We will show applications of A-expansions to the study of the Hecke action and finish with several conjectural results based on computations.
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