Jeroen Hekking: K-theory of projective bundles and blow-ups

This is the twelfth talk of the seminar on algebraic K-theory and derived algebraic geometry . 

The seminar will be held via Zoom. 

Abstract: 

Let E be any additive invariant. After introducing and recollecting the necessary terminology, we will discuss a formula for computing E(P(E)), where P(E) is a projective bundle over a derived Artin stack X, and a formula for computing E(Bl_Z(X)), where Bl_Z(X) is the blow-up of X in a quasi-smooth center Z.