The course covers the learning outcomes and goals of understanding asymptotic and multidimensional asymptotic classes of finite structures. It teaches skills such as analyzing N-dimensional asymptotic classes, applying one-variable criteria, and utilizing ultraproducts of asymptotic classes. The teaching method involves lectures and theoretical discussions. The intended audience for this course includes mathematicians, logicians, and individuals interested in finite structures and asymptotic classes.
Asymptotic and Multidimensional Asymptotic Classes of Finite Structures
Joint Mathematics Meetings via YouTube
Overview
Syllabus
Introduction
Outline
Motivation
Inspiration
The beautiful theorem
Ndimensional asymptotic classes
One variable criterion
Onedimensional asymptotic classes
Smoothly approximating structures
Adefinable regularity lemma
Ultraproducts of asymptotic classes
Measurable setters
Measurable structures
Questions
Multidimensional asymptotic classes
Measuring semirings
Generalized measurable structures
Taught by
Joint Mathematics Meetings
