Twisted K-theory in Motivic Homotopy Theory
Appears in collection : 2023 IHES Summer School – Recent Advances in Algebraic K-theory
In this talk, we will speak about algebraic K-theory of vector bundles twisted by a Brauer class, and its place in motivic homotopy theory. In particular, we will discuss a new approach to the motivic spectral sequence for twisted K-theory, constructed earlier by Bruno Kahn and Marc Levine. The talk is based on joint work with Elden Elmanto and Denis Nardin.
