The talk is about the statistical mechanics on Cayley trees and Lobachevsky plane. The rich structure of the Gibbs states in these settings allows for simple understanding of the spin glass transition. (No knowledge about the latter is supposed.) Joint work with Ch. Maes, D. Gandolfo and J. Ruiz.
Biography
Senya Shlosman holds the position of Directeur de Recherche at Centre de Physique Théorique in Luminy, Marseille, France. He is also a Leading Researcher at the Institute of Information Transmission Problems in Moscow. He is working in rigorous statistical mechanics. Among his results are rigorous derivation of the Wulff shape of the Ising crystal (with R. Dobrushin) and rigorous study of the metastable states of the Ising model at positive temperatures (with R. Schonmann). He is also working in topological combinatorics (topological Tverberg theorem).