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Combinatorial stability theory grew out of Shelah's work on Morley's conjecture concerned with the number of uncountable models of first-order theories. The subject gained a stronger geometric aspect and found applications to algebra and number theory through the work of Zilber, Hrushovski, Pillay and many others. In recent year, many of its methods were generalized to larger classes of theories. These lecture notes provide an introduction to this area.
Course Notes and Supplementary Material (PDF format)
|Course notes||v1 PDF (1.9M)||06/17/19|