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Explore the applications of crystal base theory in this comprehensive lecture from the Workshop on Integrable systems, exactly solvable models and algebras. Delve into the combinatorial definition of crystals and discover their applications in symmetric functions and cyclic sieving. Gain insights into the intersection of statistical mechanics, representation theory, and combinatorics as presented by Anne Schilling. Part of the Atelier sur les Systèmes intégrables, modèles et algèbres exactement solubles series, this hour-long talk offers a thorough introduction to the subject, suitable for those interested in advanced mathematical concepts and their interdisciplinary applications.
