Oberseminar WiSe 12/13 Zusammenfassung des Vortrags von Fabien Clery
Vector-valued Picard modular forms
This talk is about a joint work with Gerard van der Geer concerning vector-valued
Picard modular forms for the unitary group of signature (2,1) over the Eisenstein integers.
First, we recall basic facts about the scalar-valued case, and then we construct vector-valued such modular forms. We also get into the structure of some their modules.Finally, we explain how to compute explicitly Hecke-eigenvalues of these vector-valued Picard modular forms.