2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69558These notes give a statement of the "fundamental lemma," which is a conjectural identity between p-adic integrals that arises as part of the Langlands program.18 pages, 1 figure. This paper is based on lectures at the Clay Math Institute summer school on automorphic forms at the Fields Institute, June 25-27, 2003. This work is licensed under the Creative Commons Attribution LicenseRepresentation Theorytext