Mini-Workshop: Critical Phenomena of the XY Model

Abstract

This mini-workshop focused on recent advances in probability theory concerned with the critical phenomena of the XY model and other related spin systems. There were 18 participants, all working at the forefront of this dynamic field, and from various career stages and a diverse range of institutions as well as backgrounds and gender. The mini-workshop featured talks by almost all participants except organizers as well as an open problem session. The talks consisted of: a) three mini-courses of four lectures each and b) hour long seminars from the remaining participants. The mini-courses covered random currents for the XY model, random walk representations and triviality in the XY and Ising models, and connections between the spherical model and the Gaussian Free Field. The remaining seminars spanned a diverse range of topics, such as novel probabilistic approaches to the BKT transition in 2d, recent progress on high-dimensional spin systems and finite-size effects, and novel geometric representations for correlations in spin systems.