2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79647Based on the methods used by the author to prove the Riemann-Roch formula for algebraic stacks, this paper contains a description of the rationnal G-theory of Deligne-Mumford stacks over general bases. We will use these results to study equivariant K-theory, and also to define new filtrations on K-theory of algebraic stacks.36 pages, notes on a talk given in the second international conference on intersection theory, Bologna Dec. 99Algebraic GeometryK-Theory and Homology14C40text