# Master Class on Exotic Phases of Matter

The discovery of exotic phases of matters, which has been awarded with a Nobel-prize in 2016, remains one of the most active and important research fields in quantum many-body theory both from a physical as well as from a mathematical point of view.

In recent years, methods developed in the context of quantum information have led to impressive advances of the field. At the forefront of these developments are the classification of topological phases and their application to the creation of stable quantum memories, as well as, the characterization of the many-body localized phase that violates the basic assumptions of statistical physics in the sense that they will not thermalize. Many of these issues are still poorly understood mathematically, but advanced mathematical tools developed to understand one-particle localization are likely to play an important role in a rigorous understanding.

This master class will consist of lectures by top experts in both quantum information and mathematical physics. There will also be significant opportunities for direct interaction. The primary aim is to expose graduate students and postdocs to the latest research on some of the most important open problems in this field. More senior researchers are also encouraged to apply.

By the end of the course, the participants will have received an up-to-date overview of some of the latest work in quantum information and mathematical physics, and should be prepared for further study and research.

Speakers will include:

Dmitry Abanin, University of Geneva

Sven Bachmann, LMU Munich

Xie Chen, California Institute of Technology

Mark Rudner, NBI, University of Copenhagen

Gunter Stolz, University of Alabama at Birmingham

Frank Verstraete, University of Vienna and Ghent University

Simone Warzel, TU Munich

Albert Werner, QMATH, University of Copenhagen