The 19th International Symposium on Mathematical Programming was held in Rio de Janeiro, July 30 to August 4, 2006. The ISMP takes place once every three years. The Rio meeting was the second time it has been held outside of North America and Europe. ACO was well represented at the ISMP in Rio. Arkadi Nemirovski and Alex Shapiro delivered plenary lectures (this accounted for two of the total of three plenary lectures given at the meeting), Vijay Vazirani delivered a semi-plenary lecture, and Ellis Johnson was one of three speakers honoring George Dantzig in the meeting's opening session. In addition, Eric Vigoda was honored as one of the Fulkerson Prize winners in the awards ceremony.