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Conference "Zeta Functions"November 19 - 23, 2012Moscow, Russia |
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Документ взят из кэша поисковой машины. Адрес
оригинального документа
: http://www.mccme.ru/poncelet/2012zeta/talks/zaytsev.html
Дата изменения: Thu Jan 31 03:03:31 2013 Дата индексирования: Mon Feb 4 16:42:13 2013 Кодировка: Поисковые слова: http www.badastronomy.com phpbb index.php |
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Conference "Zeta Functions"November 19 - 23, 2012Moscow, Russia |
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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)
Wednesday November 21, 11:45 - 12:45
Video: [mp4]
In the talk we generalize the Deuring theorem on a reduction of elliptic curve with complex multiplication. More precisely, for an Abelian variety $A$, arising after reduction of an Abelian variety with complex multiplication by a CM field $K$ over a number field at a pace of good reduction. We establish a connection between a decomposition of the first truncated Barsotti-Tate group scheme $A[p]$ and a decomposition of $p\cO_{K}$ into prime ideals. In particular, we produce these explicit relationships for Abelian varieties of dimensions $1, 2$ and 3.