In 1974 Drinfeld defined what are now called Drinfeld modules, which can be thought of as function field analogues of elliptic curves. He studied their moduli spaces, and thus implicitly modular forms associated to them. Goss was the first to define these Drinfeld modular forms in 1980, but only the one-dimensional modular forms (corresponding to rank 2 Drinfeld modules) were amenable to study. This is due to the difficulty (and non-canonicity) of compactifying higher dimensional varieties. In 2012 Pink defined a Satake compactification of higher dimensional Drinfeld modular varieties, and along with Breuer gave the first definition of modular forms of rank greater than 2. In this talk I shall explain the background needed to understand this definition, and survey some elementary results on the Fourier expansions of such modular forms.
Freitag, den 23. Mai 2014 um 13:30 Uhr, in INF288, HS2 Freitag, den 23. Mai 2014 at 13:30, in INF288, HS2
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. G. Böckle