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The course covers the learning outcomes and goals of understanding higher-order generalizations of stability and arithmetic regularity. It teaches the individual skills and tools such as regularity lemmas, stability in various contexts, stable hereditary graph properties, characterization of stability, quadratic factors, and the structure of NFOP sets. The teaching method involves exploring definitions, constraints, problems, and further directions in the field. The intended audience for this course is individuals interested in geometric stability theory and tame geometry.
