Symmetry and Emmy Noether's theorem

Emmy Noether's theorems provide profound relation between a system having symmetry and constancy of a physical quantity. That is, there is a corresponding conserved quantity for any symmetry the system posses.

Following video from the YouTube channel "Looking Glass Universe". There, the title says "The most beautiful idea in physics - Noether's Theorem". The concept of symmetry is one of the ways to attack a problem as Feynman says.

Here is the video.