Hardy-Weinberg equilibrium describes a genetic state in a population where allele frequencies do not change over generations, indicating genetic stability. This condition occurs under specific assumptions: no mutations, random mating, no natural selection, large population size, and no gene flow. When these criteria are met, the genetic variation within the population remains constant, allowing scientists to predict genotypic frequencies. Deviations from this equilibrium can signal evolutionary processes at work, such as selection or genetic drift.