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- James Arthur
- 2006

- James Arthur, Foreword
- 1989

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… (More)

- James Arthur
- 2006

- James Arthur
- 2002

- James Arthur
- 2005

Introduction The trace formula for GL2 has yielded a number of deep results on automorphic forms. The same results ought to hold for general groups, but so far, little progress has been made. One of the reasons has been the lack of a suitable trace formula. In [l(d)] and [l(e)] we presented a formula or, as we wrote it in [l(e), $51, G is a reductive group… (More)

- James Arthur
- 2012

We shall outline a classification [A] of the automorphic representations of special orthogonal and symplectic groups in terms of those of general linear groups. This necessarily includes a classification of local L-packets of representations. It also requires a classification of the extended packets that are the local constituents of nontempered automorphic… (More)

- James Arthur
- 2002

Preface Following the explicit instructions of the organizers, I have tried to write an article that is suitable for a general mathematical audience. It contains some analogies and metaphors that might even be put to nonmathematicians. I hope that experts will be tolerant of the inevitable simplifications. The principle of functoriality is one of the… (More)

- James Arthur, J Arthur
- 2005

Introduction Suppose that G is a semisimple Lie group and that F is a discrete subgroup of G. We assume that F is an arithmetic subgroup defined by congruence conditions , and for simplicity, suppose also that G is contained in a simply connected complex group. A fundamental problem is to decompose the regular representation of G on L2(f\G) into irreducible… (More)

- James Arthur
- 1985

- James Arthur, Toronto
- 1994