Cours spécialisé (GA, GT, TA)
Contact : maria.yakerson à imj-prg.fr
Pas de notes de cours prévues.
Algebraic K-theory is a rich invariant of rings and, more generally, schemes, which has homotopic nature. It encodes intrinsic information about vector bundles on a scheme. Algebraic K-theory appears in (conjectural) answers to a priori unrelated questions in number theory and differential topology, and there are lots of conjectures about properties of K-theory and its computations. In this course, we will analyze algebraic K-theory of (smooth) schemes via a filtration by motivic cohomology groups, which can be thought of as a generalization of Chow groups, and discuss its connection with etale cohomology groups.