Abstract: While the analysis of mean-field spin glass models has seen tremendous progress in the last twenty years, lattice spin glasses have remained largely intractable. I will talk about recent progress on this topic, giving the first proof of glassy behavior in the Edwards-Anderson model of lattice spin glasses. A substantial part of the lecture will be devoted to discussing open problems.
The talk is based on https://arxiv.org/abs/2301.04112
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