2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/147027These are lecture notes from Clay Summer School in Goettingen, in 2006; the lectures were an attempt at an elementary introduction to math.KT/0611623.LaTeX2e, 34 pages. Fixed some typos. Final versionAlgebraic GeometryK-Theory and HomologyCartier isomorphism and Hodge Theory in the non-commutative casetext