Explore Emmy Noether's famous theorem and its profound impact on theoretical physics in this one-hour seminar from the Santa Fe Institute. Delve into the relationship between symmetry transformations and conservation laws, examining examples such as momentum, energy, and angular momentum conservation. Learn how these symmetry transformations can be used to determine optimal variables for expressing collective dynamics and deriving their equations. Join Darryl D. Holm from Imperial College London for this insightful blackboard talk that illuminates the fundamental connections between symmetry and dynamics in physics.