# GAUSS - Gordon Aiello

**Abstract: **Noether's Theorem is a seminal work of modern mathematics and is one of the most widely used results in theoretical physics. Roughly speaking, it tells us that if a physical system possesses symmetries, then one can define a physically invariant quantity to the system; e.g. conservation of energy and conservation of the center of momentum are consequences of Noether's Theorem.

Our talk will cover many important ideas in modern mathematical physics, including: symmetries, group theory, differential equations, Newtonian & Lagrangian mechanics, and smooth manifolds. Each of these topics will be introduced in a semi-informal way through examples, so no previous knowledge is assumed. All are invited to attend.