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  • An Introduction to the Trace Formula
    a further refinement of the trace formula Section 26 contains a general introduction to Langlands’ principle of functoriality, to which many of the applications of the trace formula are directed We begin with a discussion of some constructions that are part of the founda-tions of the subject
  • Arthur–Selberg trace formula - Wikipedia
    Arthur–Selberg trace formula In mathematics, the Arthur–Selberg trace formula is a generalization of the Selberg trace formula from the group SL 2 to arbitrary reductive groups over global fields, developed by James Arthur in a long series of papers from 1974 to 2003
  • THE TRACE FORMULA AND ITS APPLICATIONS AN INTRODUCTION TO THE WORK OF . . .
    Although Arthur’s name is familiar to most mathematicians, especially to those with Canadian connections, the nature of his contributions undoubtedly remains obscure to many, for they are all tied in one way or another to the grand project of developing the trace formula as an efective tool for the study, both analytic and arithmetic, of
  • The trace formula in invariant form
    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
  • THE ARTHUR-SELBERG TRACE FORMULA AND CLASSIFICATION OF AUTOMORPHIC . . .
    One application of trace formula is Arthur classification of automorphic forms of quasi-split special orthogonal and symplectic group I will just give a sketch
  • Trace Formula, Endoscopic Classification and Beyond: the Mathematical . . .
    James Arthur's work on the Langlands program has fundamentally shaped the modern theory of automorphic forms and representations His development of the Arthur-Selberg trace formula provided a rigorous framework connecting the geometric and spectral aspects of automorphic representations This analytical tool, though technically demanding, has become essential for studying the discrete
  • ISBN 9783319315911 - Arthurs Invariant Trace Formula and . . . - UPCitemdb
    ISBN 9783319315911 is associated with product Arthur's Invariant Trace Formula and Comparison of Inner Forms (Hardcover), find 9783319315911 barcode image, product images, ISBN 9783319315911 related product info and online shopping info
  • LECTURES ON THE ARTHUR–SELBERG TRACE FORMULA
    The purpose of these Notes is to describe the contents of Arthur’s earlier, foun-dational papers on the trace formula In keeping with the introductory nature of the lectures, we have sometimes illustrated the ideas of Arthur’s general theory by applying them in detail to the case of GL(2); we have also included a few lectures on the “simple trace formula” (and its applications), and


















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