Algebra/Topology seminar

Speaker: Maxime Ramzi

Title : K-theory and motives of Azumaya algebras

Abstract : Relatively early in his study of noncommutative motives, Tabuada proved that the motive of a central division algebra over a field k was sufficient to reconstruct that division algebra. In this talk, I want to discuss a generalization of this to schemes, as well as what happens when one instead takes the K-theory of the division algebra, a more destructive process.