Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula

Arthur, James; Clozel, Laurent

ISBN 10: 0691085188 / ISBN 13: 9780691085180

Verlag: Princeton University Press, 1989

Beschreibung

Bestandsnummer des Verkäufers 400330-n

Bibliografische Details

• Titel: Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula
• Verlag: Princeton University Press
• Erscheinungsjahr: 1989
• Sprache: Englisch
• ISBN-10: 0691085188
• ISBN-13: 9780691085180
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

A general principle, discovered by Robert Langlands and named by him the "functoriality principle" predicts relations between automorphic forms on arithmetic subgroups of different reductive groups. Langlands functoriality relates the eigenvalues of Hecke operators acting on the automorphic forms on two groups (or the local factors of the "automorphic representations" generated by them). In the few instances where such relations have been probed, they have led to deep arithmetic consequences. This book studies one of the simplest general problems in the theory, that of relating automorphic forms on arithmetic subgroups of GL (n, E) and GL (n, F) when E/F is a cyclic extension of number fields. (This is known as the base change problem for GL (n) The problem is attacked and solved by means of the trace formula. The book relies on deep and technical results obtained by several authors during the last twenty years. It could not serve as an introduction to them, but, by giving complete references to the published literature, the authors have made the work useful to a reader who does not know all the aspects of the theory of automorphic forms.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.