Title of the course: Low-dimensional topology
Instructor: Dr. Puttipong Pongtanapaisan
Institution: Arizona State University
Dates: 18-24 September 2023
Prerequisites: –
Level: Graduate, advanced undergraduate, beginning undergraduate
Abstract: The world we live in is a 4-dimensional space if we also consider time. Therefore, studying low dimensional spaces leads to a better understanding of our universe. In this course, we will learn how to visualize universes of different dimensions, and how we might distinguish one universe from another. More specifically, we will discuss various ways to decompose a complicated space into simpler pieces. From such a decomposition, we can draw many conclusions. For instance, we can deduce that a space is very complex if we need a large number of basic pieces to build it.
Language: EN