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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.