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Abstract: Thanks to the work of Morel-Voevodsky, there is a good way to import the notion of generalized cohomology from topology to algebraic geometry. Under this process, singular cohomology becomes motivic cohomology, topological K-theory becomes algebraic K-theory and complex cobordism becomes algebraic cobordism. There is also an analog of the Postnikov tower in algebraic geometry which computes a generalized cohomology theory in terms of motivic cohomology with coefficients. In this talk, we will give an overview of this theory, its relation to the theory of motives, and some methods of constructing the algebraic Postnikov tower.
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