Algebra/Topology Seminar

Title: New models for motivic K-theory spectra

Abstract: Algebraic and hermitian K-theories of smooth schemes are generalized cohomology theories, represented in the motivic stable homotopy category. In this talk, we explain how to obtain new geometric models for the corresponding motivic spectra, based on the specific kinds of transfer maps that these cohomology theories acquire. As a surprising side-effect, we compute the motivic homotopy type of the Hilbert scheme of infinite affine space. This is joint work with Marc Hoyois, Joachim Jelisiejew, Denis Nardin and Burt Totaro.