Dan Yasaki (University of North Carolina, Greensboro)

Computing Bianchi modular forms using polytopes

Abstract: The theory of modular symbols allows explicit computation of classical modular forms. These ideas have been extended by Cremona and his students to a more general setting. This can be described in terms of an associated polyhedron coming from the study of perfect n-ary forms using work of Gunnells. In this talk we describe this relationship for imaginary quadratic fields and give some examples of these computations.

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