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The course teaches how to construct equivalences on a category's derived category using Rickard complexes, based on a categorical action of a semisimple Lie algebra. It covers topics such as braid relations, perverse equivalences, and the cactus group action on g-crystals. The teaching method involves theoretical explanations and examples in SL2 and general G settings. The course is intended for individuals interested in advanced topics in category theory, Lie algebras, and algebraic structures.
