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Tuesday, November 3, 2015

**Abstract:** The theory of framed motives developed by Garkusha and Panin based on ideas by Voevodsky, gives a tool to construct fibrant replacements of spectra in A^1-homotopy category. In the talk we will discuss how this construction gives an explicit identification of the motivic homotopy groups of the base field with its Milnor-Witt K-theory. In fact, this identification can be done similar to the theorem of Suslin-Voevodsky which identifies motivic cohomology of the base field with Milnor K-theory.