Документ взят из кэша поисковой машины. Адрес оригинального документа : http://www.mccme.ru/ium/s10/p-adic.html
Дата изменения: Mon Feb 1 09:48:58 2010
Дата индексирования: Tue Oct 2 03:14:15 2012
Кодировка: koi8-r
The field of p-adic numbers and its finite extensions (Spring 2010)

На главную страницу НМУ

X. Caruso

The field of p-adic numbers and its finite extensions

Краткое описание курса

The absolute Galois group of Q, denoted Gal(\bar{Q}/Q) in the sequel, is a fundamental object in arithmetics since it carries a lot of informations about number fields. Unfortunately, it is nowadays not so well understood.

A classical way to study this group is to use p-adic numbers. Indeed, for each prime number p, the group Gal(\bar{Q_p}/Q_p) naturally embeds in Gal(\bar{Q}/Q) on the one hand, and can be more easily described on the other hand.

In this course, we will present two different aspects of the study of Gal(\bar{Q_p}/Q_p):


Rambler's Top100