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In recent years, model theory has had remarkable success in solving important problems as well as in shedding new light on our understanding of them. The three lectures collected here present recent developments in three such areas: Anand Pillay on differential fields, Patrick Speissegger on o-minimality and Matthias Clasen and Matthew Valeriote on tame congruence theory.
Differential fields: Differential fields Lecture son o-minimality: Lectures on o-minimality Tame congruence theory: The structure of finite algebras Varieties Bibliography.