# Overview

##### [ FranÃ§ais ]

Concepts from quantum information theory have found fertile ground in many-body condensed-matter physics and have become ubiquitous in the past decade. In particular, concepts related to entanglement have emerged as an important theoretical tool in tackling one of the central goals of condensed matter physics: the understanding and characterization of phase transitions. As such, these have spurred a rich activity that has brought much interest in and interaction with ideas in pure and applied mathematics. For example, subjects long studied in abstract topology and topological field theory have found a new venue of investigations with the identification of the quantum dimension as a universal sub-leading term in the entanglement entropy of topological systems. The log scaling of entanglement expected in conformal field theories has been verified and derived in classes of integrable systems. Functional and Fourier analysis tools, such as SzegÃ…â€˜, FisherÃ¢â‚¬â€œHartwig, and Widom asymptotics for the scaling of traces of Toeplitz operators and their generalizations, have found immediate use in entanglement studies. Indeed, the renewed interest in the Widom conjecture in the context of entanglement calculations has led to substantial development in the field and a rigorous mathematical proof by Sobolev.

It is evident that these activities are just scratching the surface of possible connections. This workshop will bring practitioners from mathematics and physics to exchange information and ideas related to these advances. A particular attention will be given to exactly solvable systems where the behaviour of entanglement may be explored, with the potential to yield rigorous mathematical results.