Model Theoretic Tameness in Multiplicative Combinatorics

This course covers the following learning outcomes and goals: understanding model theoretic tameness in multiplicative combinatorics, exploring products of subsets of groups, learning about Freiman-Ruzsa structure theorems, studying stable subsets of finite and infinite groups, analyzing stability and tripling in arbitrary groups, examining descending stabilizers of stable sets, understanding stability and discreteness, and exploring the quantitative structure of stable sets. The course teaches individual skills such as analyzing group structures, applying model theory in combinatorics, and understanding stability properties in mathematical structures. The teaching method involves lectures and theoretical discussions. The intended audience for this course includes mathematicians, researchers, and students interested in model theory, combinatorics, and group theory.