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Explore the fascinating world of model theory over groups in this comprehensive lecture by Zlil Sela from The Hebrew University of Jerusalem. Delve into the elementary theory of groups, starting with an examination of Tarski's problem and the classification of finitely generated groups sharing the same elementary theory as non-abelian free groups. Investigate further properties of the elementary theory of free and other groups, and uncover the intriguing first-order properties of general free products of groups, some of which remain mysterious. Gain valuable insights into the advancements made in this field over the past two decades, and expand your understanding of mathematical group theory and its applications.
