Corrine Yap, Rutgers University

Abstract

18 months ago, I didn't know any statistical mechanics, and now it's my favorite topic. My goal for this talk is to show you why statistical mechanics (also known as statistical physics) is not only relevant but also really neat for us combinatorialists, even those like me whose knowledge of physics is < epsilon.

We'll first introduce the general setup of spin systems in statistical mechanics and combinatorially relevant examples such as the Ising, Potts, and hardcore models. We'll then explore some algorithmic questions in the context of the Potts model and emerging methods to tackle these types of questions, such as the cluster expansion and container-like methods. In particular, I'll talk about some of my recent work in this area, joint with Charlie Carlson, Ewan Davies, Nico Fraiman, Alexandra Kolla, and Aditya Potukuchi.

This seminar is being held in person in The Hill Center,
Mathematics Graduate Student Lounge - 7th Floor
and online via a simultaneous broadcast on Zoom.
Zoom Link: https://rutgers.zoom.us/j/92129147469?pwd=ZGFLRFhnekpIMDdDQ3Rna2kyZ3g2dz09

Meeting ID: 921 2914 7469

Password: 770605