Collins Conference Room
  US Mountain Time
Darryl D. Holm (Imperial College London)

Our campus is closed to the public for this event.

Symmetry and Collective Dynamics

Abstract.  Emmy Noether’s famous theorem (1918) is a cornerstone of theoretical physics. The theorem states that every smooth invertible symmetry of the Lagrangian in Hamil- ton?s variational principle  is associated with a conservation law. For example, momentum and energy are conserved, respectively, for invariance under space and time translations. Another example is the conservation of angular momentum for Lagrangians that are in- variant under rotations. We will explain how the symmetry transformations in Noether?s theorem specify the  optimal variables for expressing  collective  dynamics and  derive  their equations.

This will be a blackboard talk.  I will draw the figure below and explain it, step-by-step.

Research Collaboration
SFI Host: 
Chris Kempes