Abstract 
The Ising Model was developed by Lenz and Ising in the 1920s to describe
magnetic materials. It is the most fundamental model of such materials, but
there are still many open questions about it that continue to challenge
present day physicists and mathematicians. In suitable variables, the Ising
model can be described by a single polynomial \(Z(z,t)\) of two variables
\(z\) and \(t\) that is called the "'partition function". Lee and
Yang proved in 1952 that if \(t \in [0,1]\), then the zeros of the
partition function lie on the unit circle \(z = 1\). Most of the physical
properties of the magnet are determined by the location of these "LeeYang
zeros". In this talk, I will explain the Ising model, the LeeYang
Theorem, and describe several interesting results and open questions about
the locations of the LeeYang zeros. I will conclude by describing my joint
work with Pavel Bleher and Mikhail Lyubich on the LeeYang zeros for the
Diamond Hierarchical Lattice.

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