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Поисковые слова: spirit rover
Conference "Zeta Functions"
CNRS Poncelet

Conference "Zeta Functions"

November 19 - 23, 2012

Moscow, Russia

RAS Poncelet

Organisers: Marc Hindry (Institut de Mathématiques de Jussieu) Philippe Lebacque (Laboratoire de Mathématiques de Besançon), Michael Tsfasman (CNRS, Laboratoire Poncelet, Institute for Information Transmission Problems), Alexey Zykin (Laboratoire Poncelet, State University Higher School of Economics)

Values of L-functions at the center of the critical strip and size of regulators

Marc Hindry (Paris)

Friday, 11:45 - 12:45

Video: [mp4]

Abstract

We consider the arithmetic of abelian varieties over a global field, trying to guess what should be true over number fields and prove the analogues over function fields. We discuss in particular the link between the size of L-functions and the NИron-Tate regulator, with special attention to the case of the family of twists of a given abelian variety.

Poncelet Laboratory web page