On the spectral side of Arthur’s trace formula — absolute convergence
نویسندگان
چکیده
We derive a refinement of the spectral expansion of Arthur’s trace formula. The expression is absolutely convergent with respect to the trace norm.
منابع مشابه
On the Spectral Side of Arthur’s Trace Formula Ii
We derive a refinement of the spectral expansion of Arthur’s trace formula. The expression is absolutely convergent with respect to the trace norm.
متن کاملON THE ABSOLUTE CONVERGENCE OF THE SPECTRAL SIDE OF THE ARTHUR TRACE FORMULA FOR GLn
Let G be a reductive algebraic group defined over Q and let A be the ring of adèles of Q. The spectral side of the Arthur trace formula for G is a sum of distributions on G(A) which are defined in terms of truncated Eisenstein series. In general, the spectral side is only known to be conditionally convergent. In this paper we prove that for GLn, the spectral side of the trace formula is absolut...
متن کاملAn Introduction to the Stable Trace Formula
The goal of this introduction is to motivate the problem of stabilization of the trace formula and to present the approach to stabilization of the elliptic terms carried out by Langlands and Kottwitz in the 1980s. The first two sections are devoted to describing the trace formula and presenting two typical applications. In this series of books we studiously avoid all reference to the analytic p...
متن کاملThe spectral side of Arthur's trace formula.
The trace formula is one of the most important tools in the theory of automorphic forms. It was invented in the 1950's by Selberg, who mostly studied the case of hyperbolic surfaces, and was later on developed extensively by Arthur in the generality of an adelic quotient of a reductive group over a number field. Here we provide an explicit expression for the spectral side, improving Arthur's fi...
متن کاملCohomologie d’intersection des variétés modulaires de Siegel, suite
In this work, we study the intersection cohomology of Siegel modular varieties. The goal is to express the trace of a Hecke operator composed with a power of the Frobenius endomorphism (at a good place) on this cohomology in terms of the geometric side of Arthur’s invariant trace formula for well-chosen test functions. Our main tools are the results of Kottwitz about the contribution of the coh...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011