Degrees of maps between motivic moment-angle complexes

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William Hornslien, Norwegian University of Science and Technology

Motivic homotopy theory is a homotopy theory for smooth algebraic varieties. We will start off by giving a brief introduction to motivic homotopy theory and review some results about homotopy groups of some motivic spheres. After that we’ll define motivic refinements of moment-angle complexes and describe their cellular A^1-homology. Lastly, we'll study possible degrees of maps between motivic moment-angle complexes.