Day 05d Abdenacer Makhlouf Introduction to algebraic deformations 5

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The main purpose of this course is to provide a complete introduction to algebraic deformation theory, including formal deformations introduced by Gerstenhaber based on formal power series, global deformations based on any commutative algebra, following a general theory of Schlessinger and the recent developments in quantization deformation theory connected to the celebrated work of M. Kontsevich. The course gives detailed expositions of fundamental concepts along with an introduction to recent developments in the topics using these fundamental tools. In this course, we deal with methods from Algebra, geometry and category 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