SPEAKER:     Martin Weissman

TITLE:    D4 modular forms

ABSTRACT:

Associated to the (only) two octonion algebras over Q, there are two algebraic groups of type D4. We will construct these groups, and discuss automorphic forms on both groups, concentrating on arithmetic and geometric aspects. Then we will discuss a correspondence, local and global, between representations and automorphic representations on these groups. This can be seen as an octonionic generalization of the Jacquet-Langlands correspondence.