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Peter Arndt (Heinrich Heine Universität Düsseldorf): Motivic Homotopy Theory over deeper bases.
July 18th, 2017


We start with a short sketch of motivic homotopy theory for usual schemes. Then we motivate what follows by presenting some notions of "schemes over deeper bases" and other alternative settings of algebraic geometry. In the main part of the talk we set up a version of motivic homotopy theory for such alternative settings, working for a very general general input. Among the results and constructions we present are a Snaith type algebraic K-theory spectrum, Adams operations, rational splittings and a rational motivic Eilenberg-MacLane spectrum.

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