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Gabriela Guzmán added file Description/K-theorydescription.tex
over 8 years ago
Commit id: 18199470a23c98691e26cd55ac45d76ef5135b5f
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\documentclass[11pt]{amsart}
\usepackage{geometry} % See geometry.pdf to learn the layout options. There are lots.
\geometry{letterpaper} % ... or a4paper or a5paper or ...
%\geometry{landscape} % Activate for for rotated page geometry
%\usepackage[parfill]{parskip} % Activate to begin paragraphs with an empty line rather than an indent
\usepackage{graphicx}
\usepackage{amssymb}
\usepackage{epstopdf}
\usepackage{amsthm}
\DeclareGraphicsRule{.tif}{png}{.png}{`convert #1 `dirname #1`/`basename #1 .tif`.png}
\newtheorem{theo}{Theorem}
\title{Baby seminar on the K-Theory of Fields}
\author{}
%\date{} % Activate to display a given date or no date
\begin{document}
The aim of this seminar is study the $K$-theory on fields mainly understand the structure of $K_{*}(F)$. The aim will be undertand the proof of Suslin Rigidity Theorem. Wich allows to solve one of the Quillen-Linchembaum conjectures which states.
\begin{theo}
If $F$ is an algebraically closed field, then for $n\geq1$, $K_n(F)$ is divisible and the torsion subgroup in $K_n(F)=0$ if $n$ is even and isomorphic to $\coprod_{l\neq char F}\mathbb{Q}_l/Z_{l}(n)$ if $n$ is odd.
\end{theo}
\end{document}
