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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 achieved  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. One of the aims is study the proof of uone of the Qullien-Lichtenbaum conjectures: