Excision for algebraic K-theory with respect to categorical Milnor squares (1/2)

by Vladimir Sosnilo (PDMI RAS, SPbU)

Thursday 17 Sep 2020, 12:30 → 14:30 Europe/Moscow

958-115-833 (Zoom)

In this talk we will define a Milnor square of stable infinity-categories. We will prove that the nonconnective K-theory sends such a square to a homotopy pullback square of spectra. In particular, there is associated long exact sequence of K-groups. We will explain the relation between the new notion and Milnor squares of rings. The classical Milnor excision result of Suslin and Wodzicki will follow from this result. More generally, the theorem generalizes a recent result of Land and Tamme about the K-theory of pullbacks of $A_\infty$-rings.

Notes from the talks Video