Explore the fascinating world of lattice subgroups and their actions on manifolds in this 46-minute lecture by Aaron Brown. Delve into the general setting, key definitions, and theoretical concepts surrounding isometric and projective actions. Examine nonexistence theorems, standard modifications, and the two main philosophies guiding this field of study. Investigate Zimmer's conjecture, additional directions for research, and ongoing work in progress. Gain insights into the action of gamma, extra invariance, and off actions while considering thought-provoking questions that arise from this complex mathematical topic.