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This volume presents a collection of articles devoted to representations of algebras and related topics. Distinguished experts in this field presented their work at the International Conference on Representations of Algebras in 2020. The book reflects recent trends in the representation theory of algebras and its interactions with other central branches of mathematics, including combinatorics, commutative algebra, algebraic geometry, topology, data analysis, Lie algebras, quantum groups, homological algebra, and theoretical physics. There are thirteen independent articles, written by leading experts in the field. Most are expository survey papers, but some are also original research contributions. This collection is addressed to researchers and graduate students in algebra as well as to a broader mathematical audience. It contains open problems and new perspectives for research in the field.