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Higher Categories and Algebraic K-Theory, Part I

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Thomas Nikolaus
Hongyi Chu & Bruno Stonek
WWU Münster
Wed, 2020-08-19 15:15 - 16:30

In this series of two talks we will give a short introduction to algebraic K-theory. 

The idea of these lectures is to formulate K-theory and some basic properties and statements as far as possible in the language of ∞-categories and stable homotopy theory. We will specifically introduce K-theory as the group completion and derive its basic properties using this perspective. We will review some basic calculations and outline the Q-construction. If time permits we will also sketch an extension of the functoriality of K-theory to polynomial functors.

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