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A STABLE TRACE FORMULA III. PROOF OF THE MAIN THEOREMS James Arthur*
 

Summary: A STABLE TRACE FORMULA III. PROOF OF THE MAIN THEOREMS
James Arthur*
Contents
Introduction
1 The induction hypotheses
2 Application to endoscopic and stable expansions
3 Cancellation of p-adic singularities
4 Separation by infinitesimal character
5 Elimination of restrictions on f
6 Local trace formulas
7 Local Theorem 1
8 Weak approximation
9 Global Theorems 1 and 2
10 Concluding remarks
* Supported in part by NSERC Operating Grant A3483.
1
Introduction
This paper is the last of three articles designed to stabilize the trace formula. Our
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. In

  

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

 

Collections: Mathematics