Milnor excision for motivic spectra

Abstract: It is a classical result of Weibel that homotopy invariant algebraic K-theory satisfies excision, in the sense that for any ring $A$ and ideal $I \subset A$, the fiber of $KH(A) \rightarrow KH(A/I)$ depends only on $I$ as a nonunital ring. In joint work with Elden Elmanto, Ryomei Iwasa, and Shane Kelly, we show that this is true more generally for any cohomology theory represented by a motivic spectrum.

commutative algebraalgebraic geometryalgebraic topologygeometric topologyK-theory and homology

Audience: researchers in the topic

electronic Algebraic K-theory Seminar

Series comments: Description: Research seminar on algebraic K-theory