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A STABLE TRACE FORMULA I. GENERAL EXPANSIONS James Arthur*
 

Summary: A STABLE TRACE FORMULA I. GENERAL EXPANSIONS
James Arthur*
Contents
Introduction
1 Functions and distributions
2 Global trace formula: geometric side
3 Global trace formula: spectral side
4 K-groups and transfer factors
5 An assumption: the fundamental lemma
6 Statement of Local Theorems 1 and 2
7 Statement of Global Theorems 1 and 2
8 Stabilization of the unramified terms
9 A global vanishing theorem
10 Endoscopic and stable expansions
* Supported in part by NSERC Operating Grant A3483.
1
Introduction
This paper is the first of three articles designed to stabilize the trace formula. The
goal is to stabilize the global trace formula for a general connected group, subject to a
condition on the fundamental lemma that has been established in some special cases. The

  

Source: Arthur, James G. - Department of Mathematics, University of Toronto

 

Collections: Mathematics