Modern Trends in Algebra and Representation Theory

David Jordan is Professor of Categorical Symmetry at the University of Edinburgh. Nadia Mazza is Professor in Pure Mathematics at Lancaster University. Sibylle Schroll is Professor of Mathematics at the University of Cologne and Adjunct Professor at the Norwegian University of Science and Technology.

Introduction David Jordan, Nadia Mazza and Sibylle Schroll; 1. Auslander-Reiten theory of finite-dimensional algebras Raquel Coelho Simões; 2. τ-Tilting theory – an introduction Hipolito Treffinger; 3. From frieze patterns to cluster categories Matthew Pressland; 4. Infinite-dimensional representations of algebras Rosanna Laking; 5. The Springer correspondence Sam Gunningham; 6. An introduction to diagrammatic Soergel bimodules Amit Hazi; 7. A companion to quantum groups Bart Vlaar; 8. Infinite-dimensional Lie algebras and their multivariable generalizations Brian Williams; 9. An introduction to crowns in finite groups Gareth Tracey; 10. An introduction to totally disconnected locally compact groups and their finiteness conditions Ilaria Castellano; 11. Locally analytic representations of p-adic groups Andreas Bode and Nicolas Dupré.