A (biased) introduction to six-vertex model

"Six-vertex model is an archetypical model in statistical mechanics that pertains exact solutions. It is also related to high-energy physics, combinatorics, probability, etc. I will explain the definition of the model, and its Yang-Baxter integrability. As an exercise, I will demonstrate the Izergin-Korepin determinant for the six-vertex model with domain-wall boundary condition that leads to a beautiful proof on the ASM conjecture in combinatorics."