Recent Results on Finite Group Lattice Gauge Theories

The rigorous study of spin systems such as the Ising model is currently one of the most active research areas in probability theory. In this talk, I will introduce one particular class of such models, known as lattice gauge theories (LGTs), and go over its origins, motivations, and then some recent results. Along the way, I will also try to highlight some of the key differences between LGTs and the usual spin systems. The general theme is that LGTs are spin systems with topological considerations.