This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montréal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions.
1. Algebraic Methods
2. Condensed Matter Physics
3. Cosmology and Gravitation4. Integrability
5. Non-perturbative Quantum Field Theory
6. Particle Physics
7. Quantum Computing and Quantum Information Theory
9. Special Session in Honour of Decio Levi: continuous and discrete, classical & quantum
Dr. Manu Paranjape is a professor in the Département de physique, Université de Montréal. He is also a member of the Centre de recherches mathématiques. His general research area is theoretical physics, including induced quantum numbers, Skyrmions, non-commutative geometry, quantum spin systems, instantons and aspects of gravity.
Dr. Richard MacKenzie is a professor of physics at the Université de Montréal. His research is in theoretical physics and applications in a variety of fields, including particle physics, cosmology, condensed matter physics and quantum information.
Dr. Zora Thomova is a Professor of Mathematics at SUNY Polytechnic Institute, Utica NY. Her research in the area of mathematical physics focuses on symmetries of differential and difference equations arising in physics, engineering and other sciences.
Dr. Pavel Winternitz is a professor at the Centre de recherches mathématiques, Université de Montréal. His research is devoted to applications of group theory to physics. In particular nonlinear phenomena in physics, integrable and superintegrable systems and symmetries of differential, difference and delay equations.
Dr. William Witczak-Krempa is an assistant professor in the Department of Physics at Université de Montréal, where he holds a Canada Research Chair on Quantum Phase Transitions. He is a member of the Centre de recherches mathématiques. His research aims to understand and characterize novel quantum phases of matter by using an interdisciplinary approach. He has been active in studying quantum criticality, topological phases, and entanglement in many-body systems.
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