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%\date{} % Activate to display a given date or no date  \begin{document}  The aim of the seminar will be understand the $K$-theory of fields, we will recall some of the constructions of the higher $K$-groups achived by Quillen and some of its basic properties but instead in focus in the theoretical proofs we will study explicit computations around the $K$-theory fields.  The aim of the seminar will be study the $K$-theory of fields mainly understand the structure of $K_{*}(F)$. The aim will be understand 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}   We Also it  will recall some of the constructions of the higher $K$-groups and some of its basic properties but instead in focuse in the theoretical proofs we will study explicit computations be interesting has a discusion  aroundthe $K$-theory fields.  \end{document}