2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/181621We review recent progress in calculating kaon spectrum, pseudoscalar meson decay constants, $B_K$, $ε'/ε$, $K\to ππ$ matrix elements, kaon semileptonic form factors, and moments of kaon distribution amplitudes on the lattice. We also address the issue of how best to improve the staggered fermion formulation for the action and operators.29 pages, 21 figures, Lattice 2006 conference proceeding (plenary talk), a few minor revisionsHigh Energy Physics - LatticeHigh Energy Physics - Phenomenologytext