Description
Abstract. We formulate a motivic homotopy version of the plectic conjecture of Jan Nekovář and Tony Scholl by constructing a category of r-plectic motivic spaces and spectra, using the theory of Morel and Voevodsky. We show that this category satisfies the basic properties conjectured by Nekovář-Scholl in the case of pure Shimura data. This is joint work with Po Hu, Igor Kriz and Petr Somberg.