AbstractThe course provides a basic introduction to model theory which allows to understand certain model theoretic results in algebra such as Artin’s conjecture on p-adic number fields.PrerequisiteFamiliarity with basic notions in abstract algebra and basic number theory.SyllabusThere are two parts of the course.A. Model constructions: basic introduction to models, structures, and ultraproduc...
Record: YesLevel: GraduateLanguage: EnglishPrerequisite:Undergraduate Probability: Independent events, Laws of large numbers. Basic measure theory and functional analysis.Introduction:I will discuss the simplest model of Statistical Mechanics: the 2D Ising model, a drosophila of mathematical physics. Yet there are open problems left and many papers are still written on it. I will also treat rel...