Automorphic group representations

Automorphic Representations of the Jacobi Group and of Gl 2

A lifting map from cuspidal automorphic representations of the Jacobi group G J to cuspidal auto-morphic representations of the group PGL(2) is constructed. The lifting also has a local deenition, and the local and global versions are compatible. The local lifts can be described in terms of equivalence classes of local representations. The main idea in the construction is to exploit the close r...

Introduction to Automorphic Representations

Unipotent Automorphic Representations : Conjectures

In these notes, we shall attempt to make sense of the notions of semisimple and unipotent representations in the context of automorphic forms. Our goal is to formulate some conjectures, both local and global, which were originally motivated by the trace formula. Some of these conjectures were stated less generally in lectures [2] at the University of Maryland. The present paper is an update of ...

Automorphic Representations of Adele Groups

Automorphic Representations with Local Constraints

To everyone who loves mathematics, everywhere. i Acknowledgements I cannot stress enough how wonderful it is to study mathematics at Berkeley. I had the great privilege to share ideas there with many fantastic mathematicians. My advisor, Ken Ribet, granted me the freedom to pursue this project while masterfully answering the lion's share of my questions. The ideas for the final chapter grew out...