Gebhard Boeckle




Thursday, December 6, 2007 - 3:00pm


MSTB 254

In a similar way as in the case of elliptic modular forms, one can attach
strictly compatible systems (SCS) of Galois representations to Drinfeld
modular forms. Unlike in the classical situations, these are abelian. Goss
had asked whether they would arise from Hecke characters. Adapting to the
function field setting a correspondence of Khare between SCS of mod p
Galois representations and Hecke characters, this can indeed be shown to
be the case. If time permits, I shall also give some examples and discuss
some open questions regarding these Hecke characters.