Dear Colleagues, We would like to invite you to the following Probability seminar that will take place on November 06 at 14 by the zoom platform. ________________________________________________________ Speaker: Federico Camia (NYU Abu Dhabi) Title: Critical and near-critical scaling limits for the planar Ising model 06 NOVEMBER (Friday) - 14:00 - zoom link: TBA (available on the webpage https://www.math.unipd.it/~bianchi/seminari/ ) Abstract: The Ising model, proposed by Lenz in 1920 to describe ferromagnetism, is one the most studied models of statistical mechanics. Its two dimensional version has played a special role in rigorous statistical mechanics since Peierls’ proof of a phase transition in 1936 and Onsager’s derivation of the free energy in 1944. This continues to be the case today, thanks to new results on the continuum scaling limit. In this talk, I will first introduce the model and give a brief historical overview of some milestones in its analysis. I will then present recent results on its critical and near-critical scaling limits, focusing on the scaling behavior of the magnetization. In particular, I will discuss non-central limit theorems for the magnetization, the emergence of conformal invariance at the critical point, and exponential decay of correlations in the near-critical regime. (Based on joint work with R. Conijn, C. Garban, J. Jiang, D. Kiss, and C.M. Newman.) -- Alessandra Bianchi Dip. di Matematica Università di Padova Via Trieste, 63 - 35121 Padova, Italy phone: +39 049 827 14 06 fax: +39 049 827 14 28 e-mail: bianchi@math.unipd.it http://www.math.unipd.it/~bianchi/