Playlist: https://www.youtube.com/playlist?list=PLOROtRhtegr7DmeMyFxfKxsljAVsAn_X4
The Seifert-Van Kampen Theorem gives a way to calculate the fundamental group of a space by calculating the amalgamated product of two open spaces that cover the space and that have path connected intersection. Confused? Don't worry! We start simple with the problem of finding the fundamental group of a wedge of circles and build up to finding the fundamental group of a torus as well as 2-holed torus (and more!).
Presented by Anthony Bosman, PhD.
Learn more about math at Andrews University: https://www.andrews.edu/cas/math/
In this course we are following Hatcher, Algebraic Topology: https://pi.math.cornell.edu/~hatcher/AT/AT.pdf