Young Geometry
Channel: Andrew Misseldine
Date: 2022-01-11

In this video, we introduce Young geometry as another example of a finite geometry. We present the axioms of Young geometry and compare them to the axioms of Fano geometry presented before. We present a model of Young geometry that is unique up to isomorphism, without proof. We then prove several theorems of Young geometry. This is all a precursor to affine geometry, for which Young geometry is just the affine geometry of order 3. 

This is part 5 (1/1) of the lecture series offered by Dr. Andrew Misseldine for the course Math 3130 - Modern Geometries at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at: 
https://drive.google.com/file/d/1pY1lqJ-oxHXe_AW8BFV5ASgkT0StsMod/view

This lecture is loosely based upon Section 1.3 of Roads to Geometry by Wallace & West. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.