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Topological Matter Conference (TMC) 2021: The magic of moiré quantum matter By Pablo Jarillo-Herrero, Massachusetts Institute of Technology (MIT) The understanding of strongly-correlated quantum matter has challenged physicists for decades. The discovery three years ago of correlated phases and superconductivity in magic angle twisted bilayer graphene led to the emergence of a new materials platform to investigate strongly correlated physics, namely moiré quantum matter. These systems exhibit a plethora of quantum phases, such as correlated insulators, superconductivity, magnetism, Chern insulators, and more. In this talk I will review some of the recent advances in the field, focusing on the newest generation of moiré quantum systems, where correlated and topological physics can be studied with unprecedented tunability. I will end the talk with an outlook of some exciting directions in this emerging field. --------------------------------------------------- The Topological Matter Conference (TMC) focuses on recent developments in fundamental and applied aspects of broad classes of topological quantum systems and the synergy between them. Topics include topological insulators and Weyl semimetals, topological phononics and photonics, skyrmions, quantum metrology and more. The TMC is a joint effort between the H2020 FET-PROACTIVE projects TOCHA (GA: 824140) and SKYTOP (GA: 824123) with the objective to establish synergies and to mobilize the Topological Matter community. Intended to lead to an annual gathering, the first TMC will be celebrated in 2021 from June 28th to July 2nd. If the pandemic situation allows it, the conference will be hosted at the Eden Roc hotel in Sant Feliu de Guixols, Spain, including Plenary, Invited, Oral and Poster contributions. Otherwise, the conference will be virtual, likely with no poster presentations. For more information: https://topologicalmatter.org/program/