Grafik für das Drucken der Seite Abbildung von Gaitsgory / Lurie | Weil's Conjecture for Function Fields | 1. Auflage | 2019 | beck-shop.de

Gaitsgory / Lurie

Weil's Conjecture for Function Fields

Volume I (Ams-199)

nicht lieferbar

ca. 204.50 €

Preisangaben inkl. MwSt. Abhängig von der Lieferadresse kann die MwSt. an der Kasse variieren. Weitere Informationen

Buch. Hardcover

2019

320 S.

In englischer Sprache

Princeton University Press. ISBN 978-0-691-18213-1

Format (B x L): 16 x 23.6 cm

Gewicht: 658 g

Produktbeschreibung

A central concern of number theory is the study of local-to-global principles, which describe the behavior of a global field K in terms of the behavior of various completions of K. This book looks at a specific example of a local-to-global principle: Weil's conjecture on the Tamagawa number of a semisimple algebraic group G over K. In the case where K is the function field of an algebraic curve X, this conjecture counts the number of G-bundles on X (global information) in terms of the reduction of G at the points of X (local information). The goal of this book is to give a conceptual proof of Weil's conjecture, based on the geometry of the moduli stack of G-bundles. Inspired by ideas from algebraic topology, it introduces a theory of factorization homology in the setting ¿-adic sheaves. Using this theory, Dennis Gaitsgory and Jacob Lurie articulate a different local-to-global principle: a product formula that expresses the cohomology of the moduli stack of G-bundles (a global object) as a tensor product of local factors.

Using a version of the Grothendieck-Lefschetz trace formula, Gaitsgory and Lurie show that this product formula implies Weil's conjecture. The proof of the product formula will appear in a sequel volume.

Topseller & Empfehlungen für Sie

Ihre zuletzt angesehenen Produkte

Autorinnen/Autoren

  • Rezensionen

    Dieses Set enthält folgende Produkte:
      Auch in folgendem Set erhältlich:
      • nach oben

        Ihre Daten werden geladen ...