Summary: ON LOCAL CHARACTER RELATIONS
James Arthur*
Contents
Introduction
1. The spaces I(G) and SI(G)
2. Geometric transfer factors
3. The transfer map and its adjoint
4. Virtual characters
5. Spectral transfer factors
6. Statement of two theorems
7. Simple trace formulas
8. Proof of stability
9. Proof of character relations
10. A problem on weighted characters
References
* Supported in part by NSERC Operating Grant A3483.
Introduction
Suppose that G is a reductive group over a padic field F of characteristic 0. Langlands
and Shelstad [22] conjectured the existence of a remarkable family of maps
f  fG
