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.