IntroductionThis course will discuss topological modelling of combinatorial objects such as (di-)graphs and hypergraphs. The course will guide the students to read the relevant references on the topic for learning how to apply the theories in algebraic topology to the combinatorial objects. The course will also display some applications of algebraic topology in data analytics through topologica...
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...