coupling but nonperturbative methods can be used to give tractable yet rigorous models of confinement and chiral symmetry breaking, with possible application to neutron star interiors (or quark stars!? or strangelets!?)

-   development of lattice regularizations that incorporate chiral symmetry,

-   incremental developments in algorithms and hardware that have now matured to the extent that lattice gauge theory has become a powerful tool capable of providing reliable quantitative information genuinely useful for guiding and interpreting experimental work, and

-   increasing anticipation of new frontier hadronic accelerators, the upgraded Tevatron, and especially the Large Hadron Collider (LHC), where QCD will dominate both input and output. It will provide a challenging “background” against which to analyze and interpret any essentially new phenomena.

Lattice gauge theory has been an essential ingredient in this ferment. This subject now appears, I believe, more promising and more important than ever before. It is blessed with many attractive research programs on various time scales. We can classify these roughly into:

-   opportunities – significant problems that will almost certainly yield to hard work and adequate investment of resources in a reasonable, predefined period of time,

-   challenges – more ambitious problems, which may or may not yield 