### The cluster expansion and combinatorics

- Series
- Combinatorics Seminar
- Time
- Friday, September 9, 2022 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 202
- Speaker
- Will Perkins – Georgia Institute of Technology

The cluster expansion is a classical tool from statistical physics used to understand systems of weakly interacting particles in the high temperature regime of statistical physics models. It can also be a very useful tool in probabilistic, extremal, and enumerative combinatorics and in the study of large deviations in probability theory. I will give an introduction to the cluster expansion, present some examples of combinatorial applications, and try to provide some intuition about when the cluster expansion should or should not be a useful tool for a particular problem.